


Paper's Title:
Applications of Relations and Relators in the Extensions of Stability Theorems for Homogeneous and Additive Functions
Author(s):
Árpád Száz
Institute of Mathematics, University of Debrecen,
H4010 Debrecen,
Pf. 12,
Hungary
szaz@math.klte.hu
Abstract:
By working out an appropriate technique of relations and relators and extending the ideas of the direct methods of Z. Gajda and R. Ger, we prove some generalizations of the stability theorems of D. H. Hyers, T. Aoki, Th. M. Rassias and P. Găvruţă in terms of the existence and unicity of 2homogeneous and additive approximate selections of generalized subadditive relations of semigroups to vector relator spaces. Thus, we obtain generalizations not only of the selection theorems of Z. Gajda and R. Ger, but also those of the present author.
Paper's Title:
Sweeping Surfaces with Darboux Frame in Euclidean 3space E3
Author(s):
F. Mofarreh, R. AbdelBaky and N. Alluhaibi
Mathematical Science Department, Faculty
of Science,
Princess Nourah bint Abdulrahman University
Riyadh 11546,
Saudi Arabia.
Email: fyalmofarrah@pnu.edu.sa
Department of Mathematics, Faculty of Science,
University of Assiut,
Assiut 71516,
Egypt.
Email: rbaky@live.com
Department of Mathematics Science and
Arts, College Rabigh Campus,
King Abdulaziz University
Jeddah,
Saudi Arabia.
Email: nallehaibi@kau.edu.sa
Abstract:
The curve on a regular surface has a moving frame and it is called Darboux frame. We introduce sweeping surfaces along the curve relating to the this frame and investigate their geometrical properties. Moreover, we obtain the necessary and sufficient conditions for these surfaces to be developable ruled surfaces. Finally, an example to illustrate the application of the results is introduced.
Paper's Title:
Oscillation and Boundedness of Solutions to First and Second Order Forced Dynamic Equations with Mixed Nonlinearities
Author(s):
Ravi P. Agarwal and Martin Bohner
Department of Mathematical Sciences, Florida Institute of Technology
Melbourne, FL 32901,
U.S.A.
bohner@mst.edu
URL:http://web.mst.edu/~bohner
Department of Economics and Finance, Missouri University of Science and Technology
Rolla, MO 65401,
U.S.A.
agarwal@fit.edu
Abstract:
Some oscillation and boundedness criteria for solutions to certain first and second order forced dynamic equations with mixed nonlinearities are established. The main tool in the proofs is an inequality due to Hardy, Littlewood and Pólya. The obtained results can be applied to differential equations, difference equations and qdifference equations. The results are illustrated with numerous examples.
Paper's Title:
Ulam Stability of Functional Equations
Author(s):
Stefan Czerwik and Krzysztof Król
Institute of Mathematics
Silesian University of Technology
Kaszubska 23,
44100 Gliwice,
Poland
Stefan.Czerwik@polsl.pl
Krzysztof.Krol@polsl.pl
Abstract:
In this survey paper we present some of the main results on UlamHyersRassias stability for important functional equations.
Paper's Title:
Some Properties of the Solution of a Second Order Elliptic Abstract Differential Equation
Author(s):
A. Aibeche and K. Laidoune
Mathematics Department, Faculty of Sciences,
University Ferhat Abbas, Setif,
Route de Scipion, 19000,
Setif,
Algeria
aibeche@univsetif.dz
Abstract:
In this paper we study a class of non regular boundary value problems for elliptic differentialoperator equation of second order with an operator in boundary conditions. We give conditions which guarantee the coerciveness of the solution of the considered problem, the completeness of system of root vectors in Banachvalued functions spaces and we establish the Abel basis property of this system in Hilbert spaces. Finally, we apply this abstract results to a partial differential equation in cylindrical domain.
Paper's Title:
Asymptotic Inequalities for the Maximum Modulus of the Derivative of a Polynomial
Author(s):
Clément Frappier
Département de Mathématiques et de Génie industriel École Polytechnique de
Montréal,
C.P.~6079, succ. Centreville Montréal (Québec),
H3C 3A7, CANADA
Abstract:
Let be an algebraic polynomial of degree ≤n, and let ∥p∥= max {p(z):z = 1}. We study the asymptotic behavior of the best possible constant φn,k (R), for k = 0 and k=1, in the inequality ∥p'(Rz)∥ + φn,k (R) a_{k} ≤ nR^{n}^{1} ∥p∥, R → ∞.
Paper's Title:
Sharp L^{p} Improving Results for Singular Measures on C^{n+1}
Author(s):
E. Ferreyra, M. Urciuolo
FaMAFCIEM,
Universidad Nacional de CórdobaConicet,
Ciudad Universitaria, 5000 Córdoba,
Argentina
eferrey@famaf.unc.edu.ar
urciuolo@famaf.unc.edu.ar
Abstract:
For j=1,...,n, let Ω_{j} be open sets of the complex plane and let φ_{j} be holomorphic functions on Ω_{j} such that φ_{j}^{''} does not vanish identically on Ω_{j.} We consider φ(z_{1},...,z_{n}) =φ_{1}(z_{1}) +...+φ_{n}(z_{n}). We characterize the pairs (p,q) such that the convolution operator with the surface measure supported on a compact subset of the graph of φ is pq bounded.
Paper's Title:
Uniqueness of Meromorphic Functions and Weighted Sharing
Author(s):
Indrajit Lahiri and Rupa Pal
Department of Mathematics, University of
Kalyani, West Bengal 741235, India
indr9431@dataone.in
Jhargram Raj College,
Jhargram, Midnapur(W),
West Bengal 721507,
India
rupa.a.pal@gmail.com
Abstract:
With the help of the notion of weighted sharing of values, we prove a result on uniqueness of meromorphic functions and as a consequence we improve a result of P. Li
Paper's Title:
A New Method for Comparing Closed Intervals
Author(s):
Ibraheem Alolyan
Department of Mathematics, College of Sciences,
King Saud University, P. O. Box 2455, Riyadh 11451,
Saudi Arabia
ialolyan@ksu.edu.sa
URL:http://faculty.ksu.edu.sa/ALolyan
Abstract:
The usual ordering ``≤" on R is a total ordering, that is, for any two real numbers in R, we can determine their order without difficulty. However, for any two closed intervals in R, there is not a natural ordering among the set of all closed intervals in R. Several methods have been developed to compare two intervals. In this paper, we define the μordering which is a new method for ordering closed intervals.
Paper's Title:
Solving Fractional Transport Equation via Walsh Function
Author(s):
A. Kadem
L. M. F. N., Mathematics Department,
University of Setif,
Algeria
abdelouahak@yahoo.fr
Abstract:
In this paper we give a complete proof of A method for the solution of fractional transport equation in threedimensional case by using Walsh function is presented. The main characteristic of this technique is that it reduces these problems to those of solving a system of algebraic equations, thus greatly simplifying the problem.
Paper's Title:
Existence and Approximation of Traveling Wavefronts for the Diffusive MackeyGlass Equation
Author(s):
C. RamirezCarrasco and J. MolinaGaray
Facultad de Ciencias Basicas,
Universidad Catolica del Maule, Talca,
Chile
Email: carloshrc1989@gmail.com
molina@imca.edu.pe
Abstract:
In this paper, we consider the diffusive MackeyGlass model with discrete delay. This equation describes the dynamics of the blood cell production. We investigate the existence of traveling wavefronts solutions connecting the two steady states of the model. We develop an alternative proof of the existence of such solutions and we also demonstrate the existence of traveling wavefronts moving at minimum speed. The proposed approach is based on the use technique of upperlower solutions. Finally, through an iterative procedure, we show numerical simulations that approximate the traveling wavefronts, thus confirming our theoretical results.
Paper's Title:
Essential Random Fixed Point Set of Random Operators
Author(s):
Ismat Beg
Centre for Advanced Studies in Mathematics,
Lahore University of Management Sciences (LUMS),
54792Lahore, PAKISTAN.
ibeg@lums.edu.pk
URL: http://web.lums.edu.pk/~ibeg
Abstract:
We obtain necessary and sufficient conditions for the existence of essential random fixed point of a random operator defined on a compact metric space. The structure of the set of essential random fixed points is also studied.
Paper's Title:
On the Hohov Convolution Of The Class S_{p}(α,β)
Author(s):
T. N. Shanmugam and S. Sivasubramanian
Department of Mathematics,
Anna University,
Chennai 600025,
Tamilnadu, India.
shan@annauniv.edu
Department of Mathematics,
Easwari Engineering College,
Chennai600089,
Tamilnadu, India,
sivasaisastha@rediffmail.com
Abstract:
Let F(a,b;c;z) be the Gaussian hypergeometric function and I_{a,b;c}(f)=zF(a,b;c;z)*f(z) be the Hohlov operator defined on the class A of all normalized analytic functions. We determine conditions on the parameters a,b,c such that I_{a,b;c}(f) will be in the class of parabolic starlike functions S_{p}(α,β). Our results extend several earlier results.
Paper's Title:
Generalized Hypergeometric Functions Defined on the Class of Univalent Functions
Author(s):
N. Marikkannan, A. Gangadharan and C. Ganesamoorthy
Department of Applied Mathematics,
Sri Venkateswara College of Engineering,
Sriperumbudur 602105,
India.
mari@svce.ac.in
Department of Applied mathematics,
Sri Venkateswara College of Engineering,
Sriperumbudur 602105,
India.
ganga@svce.ac.in
Department of Mathematics,
Alagappa university,
Karaikudi,
India.
ganesamoorthyc@yahoo.com
Abstract:
Let A denotes the class of all analytic functions f(z), normalized by the condition f'(0)1=f(0)=0 defined on the open unit disk Δ and S be the subclass of A containing univalent functions of A. In this paper, we find the sufficient conditions for hypergeometric functions defined on S to be in certain subclasses of A, like kUCV, kST
Paper's Title:
Strongly Nonlinear Variational Parabolic Problems in Weighted Sobolev Spaces
Author(s):
L. Aharouch, E. Azroul and M. Rhoudaf
Dép. Math. Faculté des Sciences DharMahraz
B.P 1796 Atlas Fés,
Maroc.
rhoudaf_mohamed@yahoo.fr
Abstract:
In this paper , we study the existence of a weak solutions for the initialboundary value problems of the strongly nonlinear degenerated parabolic equation,
∂u  +A(u)+g(x,t,u,∇ u)=f 
∂t 
where A is a Leraylions operator acted from L^{p}(0,T,W_{0}^{1,p}(Ώ,w)) into its dual. g(x,t,u,∇ u) is a nonlinear term with critical growth condition with respect to ∇ u and no growth with respect to u. The source term f is assumed to belong to L^{p'}(0,T,W^{1,p'}(Ώ,w^{*})).
Paper's Title:
On Stan Ulam and his Mathematics
Author(s):
Krzysztof Ciesielski and Themistocles M. Rassias
Mathematics Institute, Jagiellonian University,
Łjasiewicza 6,
30348 Kraków,
Poland
Department of Mathematics. National Technical University of Athens,
Zografou
Campus, 15780 Athens,
Greece
Krzysztof.Ciesielski@im.uj.edu.pl
trassias@math.ntua.gr
Abstract:
In this note we give a glimpse of the curriculum vitae of Stan Ulam, his personality and some of the mathematics he was involved in.
Paper's Title:
On a Method of Proving the HyersUlam Stability of Functional Equations on Restricted Domains
Author(s):
Janusz Brzdęk
Department of Mathematics
Pedagogical University Podchorąźych 2,
30084 Kraków,
Poland
jbrzdek@ap.krakow.pl
Abstract:
We show that generalizations of some (classical) results on the HyersUlam stability of functional equations, in several variables, can be very easily derived from a simple result on stability of a functional equation in single variable
Paper's Title:
Fixed Points and Stability of the Cauchy Functional Equation
Author(s):
Choonkil Park and Themistocles M. Rassias
Department of Mathematics, Hanyang University,
Seoul 133791,
Republic of Korea
Department of Mathematics,
National Technical University of Athens,
Zografou Campus, 15780 Athens,
Greece
baak@hanyang.ac.kr
trassias@math.ntua.gr
Abstract:
Using fixed point methods, we prove the generalized HyersUlam stability of homomorphisms in Banach algebras and of derivations on Banach algebras for the Cauchy functional equation.
Paper's Title:
Hyperbolic Barycentric Coordinates
Author(s):
Abraham A. Ungar
Department of Mathematics, North Dakota State University,
Fargo, ND 58105,
USA
Abraham.Ungar@ndsu.edu
URL: http://math.ndsu.nodak.edu/faculty/ungar/
Abstract:
A powerful and novel way to study Einstein's special theory of relativity and its underlying geometry, the hyperbolic geometry of Bolyai and Lobachevsky, by analogies with classical mechanics and its underlying Euclidean geometry is demonstrated. The demonstration sets the stage for the extension of the notion of barycentric coordinates in Euclidean geometry, first conceived by Möbius in 1827, into hyperbolic geometry. As an example for the application of hyperbolic barycentric coordinates, the hyperbolic midpoint of any hyperbolic segment, and the centroid and orthocenter of any hyperbolic triangle are determined.
Paper's Title:
HyersUlamRassias Stability of a Generalized Jensen Functional Equation
Author(s):
A. Charifi, B. Bouikhalene, E. Elqorachi and A. Redouani
Department of
Mathematics, Faculty of Sciences,
Ibn Tofail University,
Kenitra, Morocco
charifi2000@yahoo.fr
bbouikhalene@yahoo.fr
Department of
Mathematics, Faculty of Sciences,
Ibn Zohr University,
Agadir, Morocco
elqorachi@hotmail.com
Redouaniahmed@yahoo.fr
Abstract:
In this paper we obtain the HyersUlamRassias stability for the generalized Jensen's functional equation in abelian group (G,+). Furthermore we discuss the case where G is amenable and we give a note on the HyersUlamstability of the Kspherical (n × n)matrix functional equation.
Paper's Title:
Topological Aspects of Scalarization in Vector Optimization Problems.
Author(s):
Peter I. Kogut, Rosanna Manzo and Igor V. Nechay
Department of Differential Equations,
Dnipropetrovsk National University, Naukova
STR.,
13,
49010 Dnipropetrovsk,
Ukraine
p.kogut@i.ua
Università di Salerno,
Dipartimento di Ingegneria dell'Informazione e Matematica Applicata,
Via Ponte don Melillo, 84084 Fisciano (SA),
Italy
manzo@diima.unisa.it
Department of Technical Cybernetics,
Dnipropetrovsk Technical University,
Acad. Lazarjan
STR., 2,
49010 Dnipropetrovsk,
Ukraine
i.nechay@i.ua
Abstract:
In this paper, we study vector optimization problems in partially ordered Banach spaces. We suppose that the objective mapping possesses a weakened property of lower semicontinuity and make no assumptions on the interior of the ordering cone. We derive sufficient conditions for existence of efficient solutions of the above problems and discuss the role of topological properties of the objective space. We discuss the scalarization of vector optimization problems when the objective functions are vectorvalued mappings with a weakened property of lower semicontinuity. We also prove the existence of the socalled generalized efficient solutions via the scalarization process. All principal notions and assertions are illustrated by numerous examples.
Paper's Title:
Parachaotic Tuples of Operators
Author(s):
Bahmann Yousefi and Javad Izadi
Department of Mathematics,
Payame Noor University,
P.O. Box 193953697, Tehran,
Iran
b_yousefi@pnu.ac.ir
javadie2003@yahoo.com
Abstract:
In this paper, we introduce parachaotic tuples of operators and we give some relations between parachaoticity and Hypercyclicity Criterion for a tuple of operators.
Paper's Title:
Existence and Regularity of Minima of an Integral Functional in Unbounded Domain
Author(s):
L. Aharouch, J. Bennouna and A. Bouajaja
King Khalid University
Faculty of Arts and Science Mha'l Asir
Saudi Arabia.
Email: laharouch@gmail.com
Université Sidi Mohammed Ben Abdellah
Faculté des Sciences DharMahraz
B.P 1796 Atlas Fès,
Maroc.
Email: jbennouna@hotmail.com
Email: kadabouajaja@hotmail.com
Abstract:
We prove the existence and the regularity of minima for a functional defined on a suitable Sobolev space.
Paper's Title:
Local Boundedness of Weak Solutions for Singular Parabolic Systems of pLaplacian Type
Author(s):
Corina Karim, Marjono
Department of Mathematics,
Universitas Brawijaya,
Indonesia.
Email: co_mathub@ub.ac.id,
marjono@ub.ac.id
Abstract:
We study the local boundedness of weak solutions for evolutional pLaplacian systems in the singular case. The initial data is belonging to Lebesgue space L^{∞} (0,T;W^{(1,p)} (Ω,R^{n} )). We use intrinsic scaling method to treat the boundedness of weak solutions. The main result is to make the local boundedness of weak solution for the systems wellworked in the intrinsic scaling.
Paper's Title:
On the Polyconvolution of Hartley Integral Transforms H_{1}, H_{2}, H_{1} and Integral Equations
Author(s):
Nguyen Minh Khoa and Dau Xuan Luong
Department of Mathematics,
Electric Power University,
Ha Noi, and Faculty of Fundamental Science,
Ha Long University, Quang Ninh,
Viet Nam.
Email: khoanm@epu.edu.vn,
dauxuanluong@gmail.com
Abstract:
In this paper, we construct and study a new polyconvolution * (f,g,h)(x) of functions f, g, h. We will show that the polyconvolution satisfy the following factorization equality
H_{1}[*(f,g,h)](y)=(H_{2}f)(y)(H_{1}g)(y)(H_{1}h)(y), ∀y∈ R.
We prove the existence of this polyconvolution in the space L(R). As examples, applications to solve an integral equation of polyconvolution type and two systems of integral equations of polyconvolution type are presented.
Paper's Title:
A New Relaxed bmetric Type and Fixed Point Results
Author(s):
P. Singh, V. Singh and Thokozani Cyprian Martin Jele
Department of Mathematics,
University of KwaZuluNatal,
Private Bag X54001, Durban,
South Africa.
Email: singhp@ukzn.ac.za,
singhv@ukzn.ac.za,
thokozani.jele@nwu.ac.za
Abstract:
The purpose of this paper is to introduce a new relaxed α, β bmetric type by relaxing the triangle inequality. We investigate the effect that this generalization has on fixed point theorems.
Paper's Title:
New Coincidence and Fixed Point Theorems for Strictly Contractive Hybrid Maps
Author(s):
S. L. Singh and Amal M. Hashim
21, Govind Nagar, Rishikesh 249201,
Ua, India
vedicmri@sancharnet.in
Dept. of Math., College of Science,
Univ. of Basarah,
Iraq.
Abstract:
The purpose of this paper is to study the (EA)property and noncompatible maps of a hybrid pair of singlevalued and multivalued maps in fixed point considerations. Such maps have the remarkable property that they need not be continuous at their common fixed points. We use this property to obtain some coincidence and fixed point theorems for strictly contractive hybrid maps without using their continuity and completeness or compactness of the space.
Paper's Title:
General Oscillations for Some Third Order Differential Systems with Nonlinear Acceleration Term
Author(s):
Awar Simon Ukpera
Department of Mathematics,
Obafemi Awolowo University,
IleIfe,
Nigeria.
aukpera@oauife.edu.ng
Abstract:
We generate some general nonuniform hypotheses for third order differential systems of the form X''' +F(t,X'' )+BX'+CX = P(t), in which B and C are not necessarily constant matrices. Some results requiring sharp conditions on this system have recently been published by the author in [5]. This work however examines more closely crucial properties associated with the generalised nature of the nonlinear acceleration term F, which were largely overlooked in the earlier paper.
Paper's Title:
The successive approximations method and error estimation in terms of at most the first derivative for delay ordinary differential equations
Author(s):
Alexandru Mihai Bica
Department of Mathematics,
University of Oradea,
Str. Armatei Romane no.5,
410087, Oradea,
Romania
smbica@yahoo.com
abica@uoradea.ro
Abstract:
We present here a numerical method for first order delay ordinary differential equations, which use the Banach's fixed point theorem, the sequence of successive approximations and the trapezoidal quadrature rule. The error estimation of the method uses a recent result of P. Cerone and S.S. Dragomir about the remainder of the trapezoidal quadrature rule for Lipchitzian functions and for functions with continuous first derivative.
Paper's Title:
Boundedness for VectorValued Multilinear Singular Integral Operators on TriebelLizorkin Spaces
Author(s):
Liu Lanzhe
College of Mathematics
Changsha University of Science and Technology,
Changsha 410077,
P.R. of China.
lanzheliu@263.net
Abstract:
In this paper, the boundedness for some vectorvalued multilinear operators associated to certain fractional singular integral operators on TriebelLizorkin space are obtained. The operators include CalderónZygmund singular integral operator and fractional integral operator.
Paper's Title:
A relation between nuclear cones and full nuclear cones
Author(s):
G. Isac and A. B. Nemeth
Department of Mathematics,
Royal Military College of Canada,
P. O. Box 17000 STN Forces Kingston, Ontario,
Canada K7K 7B4.
isacg@rmc.ca
Faculty of Mathematics and Computer Science,
BabesBolyai University,
3400 ClujNapoca,
Romania.
nemab@math.ubbcluj.ro
Abstract:
The notion of nuclear cone in locally convex spaces corresponds to the notion of well based cone in normed spaces. Using the bipolar theorem from locally convex spaces it is proved that every closed nuclear cone is a full nuclear cone. Thus every closed nuclear cone can be associated to a mapping from a family of continuous seminorms in the space to the topological dual of the space. The relation with Pareto efficiency is discussed.
Paper's Title:
Existence of Nonspurious Solutions to Discrete Boundary Value Problems
Author(s):
Irena Rachunkova and Christopher C. Tisdell
Department of Mathematics
Palacky University
771 46 Olomouc, Czech Republic.
rachunko@risc.upol.cz
URL: http://phoenix.inf.upol.cz/~rachunekl/mathair/mathaen.htm
School of Mathematics
The University of New South Wales
Sydney 2052, Australia.
cct@unsw.edu.au
URL: http://www.maths.unsw.edu.au/~cct
Abstract:
This paper investigates discrete boundary value problems (BVPs) involving secondorder difference equations and twopoint boundary conditions. General theorems guaranteeing the existence and uniqueness of solutions to the discrete BVP are established. The methods involve a sufficient growth condition to yield an a priori bound on solutions to a certain family of discrete BVPs. The em a priori bounds on solutions to the discrete BVP do not depend on the stepsize and thus there are no ``spurious'' solutions. It is shown that solutions of the discrete BVP will converge to solutions of ordinary differential equations.
Paper's Title:
Some Stability Results For Fixed Point Iteration Processes
Author(s):
M. O. Olatinwo, O. O. Owojori, and C. O. Imoru
Department of Mathematics, Obafemi Awolowo University,
IleIfe,
Nigeria.
polatinwo@oauife.edu.ng
walejori@oauife.edu.ng
cimoru@oauife.edu.ng
Abstract:
In this paper, we present some stability results for both the general Krasnoselskij and the Kirk's iteration processes. The method of Berinde \cite{VBE1} is employed but a more general contractive condition than those of Berinde \cite{VBE1}, Harder and Hicks \cite{HAM}, Rhoades \cite{RHO1} and Osilike \cite{OSI1} is considered.
Paper's Title:
Coincidences and Fixed Points of Hybrid Maps in Symmetric Spaces
Author(s):
S. L. Singh and Bhagwati Prasad
Vedic MRI, 21 Govind Nagar,
Rishikesh 249201
India
vedicmri@gmail.com
Department of Mathematics, Gurukula Kangri University,
Hardwar 249404,
India
Abstract:
The purpose of this paper is to obtain a new coincidence theorem for a singlevalued and two multivalued operators in symmetric spaces. We derive fixed point theorems and discuss some special cases and applications.
Paper's Title:
On the Generalized Inverse _{ } over Integral Domains
Author(s):
Yaoming Yu and Guorong Wang
College of Education, Shanghai Normal University
Shanghai 200234
People's Republic of China.
yuyaoming@online.sh.cn
grwang@shnu.edu.cn
Abstract:
In this paper, we study further the generalized inverse _{ } of a matrix A over an integral domain. We give firstly some necessary and sufficient conditions for the existence of the generalized inverse _{ }, an explicit expression for the elements of the generalized inverse _{ } and an explicit expression for the generalized inverse _{ }, which reduces to the {1} inverse. Secondly, we verify that the group inverse, the Drazin inverse, the MoorePenrose inverse and the weighted MoorePenrose inverse are identical with the generalized inverse _{ } for an appropriate matrix G, respectively, and then we unify the conditions for the existence and the expression for the elements of the weighted MoorePenrose inverse, the MoorePenrose inverse, the Drazin inverse and the group inverse over an integral domain. Thirdly, as a simple application, we give the relation between some rank equation and the existence of the generalized inverse _{ }, and a method to compute the generalized inverse _{ }. Finally, we give an example of evaluating the elements of _{ } without calculating _{ }.
Paper's Title:
Local and Global Existence and Uniqueness Results for Second and Higher Order Impulsive Functional Differential Equations with Infinite Delay
Author(s):
Johnny Henderson and Abdelghani Ouahab
Department of Mathematics, Baylor University,
Waco, Texas 767987328
USA.
Johnny_Henderson@baylor.edu
Laboratoire de Mathématiques, Université de Sidi Bel Abbés
BP 89, 22000 Sidi Bel Abbées,
Algérie.
ouahab@univsba.dz
Abstract:
In this paper, we discuss the local and global existence and uniqueness results for second and higher order impulsive functional differential equations with infinite delay. We shall rely on a nonlinear alternative of LeraySchauder. For the global existence and uniqueness we apply a recent Frigon and Granas nonlinear alternative of LeraySchauder type in Fréchet spaces.
Paper's Title:
Normalized Truncated Levy models applied to the study of Financial Markets
Author(s):
M. C. Mariani, K. Martin, D. W. Dombrowski and D. Martinez
Department of Mathematical Sciences and Department of Finance,
New Mexico State University, P.O. Box 30001
Department 3MB Las Cruces, New Mexico 880038001
USA.
mmariani@nmsu.edu
kjmartin@nmsu.edu
Abstract:
This work is devoted to the study of the statistical properties of financial instruments from developed markets. We performed a new analysis of the behavior of companies corresponding to the DJIA index, and of the index itself, by using a normalized Truncated Levy walk model. We conclude that the Truncated Levy distribution describes perfectly the evolution of the companies and of the index near a crash.
Paper's Title:
Existence of Bounded Solutions for a Class of Strongly Nonlinear Elliptic Equations in OrliczSobolev Spaces
Author(s):
Abdelmoujib Benkirane and Ahmed Youssfi
Department of Mathematics and Informatics, Faculty of Sciences
Dhar El Mahraz
University Sidi Mohammed Ben Abdallah
PB 1796 FezAtlas, Fez
Morocco
a.benkirane@menara.ma
ahmed.youssfi@caramail.com
Abstract:
We prove, in the setting of OrliczSobolev spaces, the existence of bounded solutions for some strongly nonlinear elliptic equations with operator of the principal part having degenerate coercivity and lower order terms not satisfying the sign condition. The data have a suitable summability and no Δ_{2}condition is needed for the considered Nfunctions.
Paper's Title:
Integer Sums of Powers of Trigonometric Functions (MOD p), for prime p
Author(s):
G. J. Tee
Department of Mathematics, University of Auckland,
Auckland,
New Zealand
tee@math.auckland.ac.nz
Abstract:
Many multiparameter families of congruences (mod p) are found for integer sums of q^{th} powers of the trigonometric functions over various sets of equidistant arguments, where p is any prime factor of q. Those congruences provide sensitive tests for the accuracy of software for evaluating trigonometric functions to high precision.
Paper's Title:
A Subclass of Meromorphically Multivalent Functions with Applications to Generalized Hypergeometric Functions
Author(s):
M. K. Aouf
Mathematics Department,
Faculty of Science,
Mansoura University 35516,
Egypt
mkaouf127@yahoo.com
Abstract:
In this paper a new subclass of meromorphically multivalent functions, which is defined by means of a Hadamard product (or convolution) involving some suitably normalized meromorphically pvalent functions. The main object of the present paper is to investigate the various important properties and characteristics of this subclass of meromorphically multivalent functions. We also derive many interesting results for the Hadamard products of functions belonging to this subclass. Also we consider several applications of our main results to generalized hypergeomtric functions.
Paper's Title:
A Fixed Point Approach to
the Stability of the Equation
Author(s):
SoonMo Jung
Mathematics Section, College of Science and Technology
HongIk
University, 339701 Chochiwon
Republic of Korea.
smjung@hongik.ac.kr
Abstract:
We will apply a fixed point method for proving the HyersUlam stability of the functional equation .
Paper's Title:
On some Strongly Nonlinear Elliptic Problems in L¹data with a Nonlinearity Having a Constant Sign in Orlicz Spaces via Penalization Methods
Author(s):
E. Azroul, A. Benkirane and M. Rhoudaf
Dep. Math., Faculté des Sciences
DharMahraz,
B.P 1796 Atlas Fès,
Maroc
Departement of Mathematics,
Faculty of Sciences and Techniques of Tangier,
B.P. 416, Tangier,
Morocco.
rhoudaf_mohamed@yahoo.fr
Abstract:
This paper is concerned with the existence result of the
unilateral problem associated to the equations of the type
in Orlicz spaces, without
assuming the sign condition in the nonlinearity g. The source term f belongs to L¹(Ώ).
Paper's Title:
Approximation of Derivatives in a Singularly Perturbed Second Order Ordinary Differential Equation with Discontinuous Terms Arising in Chemical Reactor Theory
Author(s):
R. Mythili Priyadharshini and N. Ramanujam
Department of Mathematics, Bharathidasan University,
Tiruchirappalli  620 024, Tamilnadu, India.
matram2k3@yahoo.com
URL:
http://www.bdu.ac.in/depa/science/ramanujam.htm
Abstract:
In this paper, a singularly perturbed second order ordinary differential equation with a discontinuous convection coefficient arising in chemical reactor theory is considered. A robustlayerresolving numerical method is suggested. An εuniform global error estimate for the numerical solution and also to the numerical derivative are established. Numerical results are provided to illustrate the theoretical results.
Paper's Title:
On an Elliptic OverDetermined Problem in Dimension Two
Author(s):
Lakhdar Ragoub
Department of Mathematics and Information of Tiyadhechnology
AL Yamamah University
P.O. Box 45 180, Riyadh 11 512
Saudi Arabia.
Abstract:
We extend the method of Weinberger for a
nonlinear overdetermined elliptic problem
in R^{2}.
We prove that the domain in consideration is a ball. The
tool of this investigation are maximum principles and Pfunctions.
Paper's Title:
Approximation of an AQCQFunctional Equation and its Applications
Author(s):
Choonkil Park and Jung Rye Lee
Department of Mathematics,
Research Institute for Natural Sciences,
Hanyang University, Seoul 133791,
Korea;
Department of Mathematics,
Daejin University,
Kyeonggi 487711,
Korea
baak@hanyang.ac.kr
jrlee@daejin.ac.kr
Abstract:
This paper is a survey on the generalized HyersUlam stability of an AQCQfunctional equation in several spaces. Its content is divided into the following sections:
1. Introduction and preliminaries.
2. Generalized HyersUlam stability of an AQCQfunctional equation in Banach spaces: direct method.
3. Generalized HyersUlam stability of an AQCQfunctional equation in Banach spaces: fixed point method.
4. Generalized HyersUlam stability of an AQCQfunctional equation in random Banach spaces: direct method.
5. Generalized HyersUlam stability of an AQCQfunctional equation in random Banach spaces: fixed point method.
6. Generalized HyersUlam stability of an AQCQfunctional equation in nonArchimedean Banach spaces: direct method.
7. Generalized HyersUlam stability of an AQCQfunctional equation in nonArchimedean Banach spaces: fixed point method.
Paper's Title:
On the Three Variable Reciprocity Theorem and Its Applications
Author(s):
D. D. Somashekara and D. Mamta
Department of Studies in Mathematics,
University of Mysore,
Manasagangotri, Mysore570 006
India
dsomashekara@yahoo.com
Department of Mathematics,
The National Institute of Engineering,
Mysore570 008,
India
mathsmamta@yahoo.com
Abstract:
In this paper we show how the three variable reciprocity theorem can be easily derived from the well known two variable reciprocity theorem of Ramanujan by parameter augmentation. Further we derive some qgamma, qbeta and etafunction identities from the three variable reciprocity theorem.
Paper's Title:
TraubPotraType Method for SetValued Maps
Author(s):
Ioannis K. Argyros and Saïd Hilout
Cameron University,
Department of Mathematics Sciences,
Lawton, OK 73505,
USA
URL: http://www.cameron.edu/~ioannisa/
Poitiers University,
Laboratoire de Mathematiques et Applications,
Bd. Pierre et Marie Curie, Teleport 2, B.P. 30179,
86962 Futuroscope Chasseneuil Cedex,
France
said.hilout@math.univpoitiers.fr
http://wwwmath.univpoitiers.fr/~hilout/
Abstract:
We introduce a new iterative method for approximating a locally unique solution of variational inclusions in Banach spaces by using generalized divided differences of the first order. This method extends a method considered by Traub (in the scalar case) and by Potra (in the Banach spaces case) for solving nonlinear equations to variational inclusions. An existenceconvergence theorem and a radius of convergence are given under some conditions on divided differences operator and Lipschitzlike continuity property of setvalued mappings. The Rorder of the method is equal to the unique positive root of a certain cubic equation, which is $1.839..., and as such it compares favorably to related methods such as the Secant method which is only of order $1.618....
Paper's Title:
Uniform Continuity and kConvexity
Author(s):
Adel Afif Abdelkarim
Mathematics Department, Faculty of Science,
J
erash University, Jerash
Jordan.
Abstract:
A closed arcwiseconnected subset A of R^{n} is called kconvex if for each positive number a and for all elements x and y in A there is a positive number b such that if the norm of xy is less than or equal to b then the length of the shortest curve l(x,y) in A is less than k times the norm of xy plus a. We show that a union of two non disjoint closed finite convex subsets need not be kconvex. Let f(x) be a uniformly continuous functions on a finite number of closed subsets A_{1},...,A_{n} of R^{n} such that the union of A_{j},...,A_{n},j=1,...,n1 is kconvex. We show that f is uniformly continuous on the union of the sets A_{i},i=1,...,n. We give counter examples if this condition is not satisfied. As a corollary we show that if f(x) is uniformly continuous on each of two closed convex sets A,B then f(x) is uniformly continuous on the union of A and B.
Paper's Title:
L∞ Error Estimate of Schwarz Algorithm for Elliptic QuasiVariational Inequalities Related to Impulse Control Problem
Author(s):
Saadi Samira and Mehri Allaoua
Lab. LANOS, Department of Mathematics,
University Badji Mokhtar Annaba,
P.O.Box 12, Annaba 23000,
Algeria.
Lab. LAIG, Department of Mathematics,
University May 8th 1945,
P.O.Box 401, Guelma 24000,
Algeria.
Email:
saadisamira69@yahoo.fr
allmehri@yahoo.fr
Abstract:
In this work, we study Schwarz method for a class of elliptic quasivariational inequalities. The principal result of this investigation is to prove the error estimate in ∞norm for two domains with overlapping nonmatching grids, using the geometrical convergence, and the uniform convergence of Cortey Dumont.
Paper's Title:
Application of Equivalence Method to Classify MongeAmpère Equations of Elliptic Type
Author(s):
Moheddine Imsatfia
Email: imsatfia@math.jussieu.fr
Abstract:
In this paper, we apply Cartan's equivalence method to give a local classification of MongeAmpère equations of elliptic type. Then we find a necessary and sufficient conditions such that a MongeAmpère equation is either contactomorphic to the Laplace equation or to an EulerLagrange equation.
Paper's Title:
Examples of Fractals Satisfying the Quasihyperbolic Boundary Condition
Author(s):
Petteri Harjulehto and Riku Klén
Department of Mathematics and Statistics,
FI20014 University of Turku,
Finland
Email: petteri.harjulehto@utu.fi
Email: riku.klen@utu.fi
Abstract:
In this paper we give explicit examples of bounded domains that satisfy the quasihyperbolic boundary condition and calculate the values for the constants. These domains are also John domains and we calculate John constants as well. The authors do not know any other paper where exact values of parameters has been estimated.
Paper's Title:
On the HyersUlam Stability of Homomorphisms and Lie Derivations
Author(s):
Javad Izadi and Bahmann Yousefi
Department of Mathematics, Payame Noor
University,
P.O. Box: 193953697, Tehran,
Iran.
Email: javadie2003@yahoo.com,
b_yousefi@pnu.ac.ir
Abstract:
Let A be a Lie Banach^{*}algebra. For each elements (a, b) and (c, d) in A^{2}:= A * A, by definitions
(a, b) (c, d)= (ac, bd),
(a, b)= a+ b,
(a, b)^{*}= (a^{*}, b^{*}),
A^{2} can be considered as a Banach^{*}algebra. This Banach^{*}algebra is called a Lie Banach^{*}algebra whenever it is equipped with the following definitions of Lie product:
for all a, b, c, d in A. Also, if A is a Lie Banach^{*}algebra, then D: A^{2}→A^{2} satisfying
D ([ (a, b), (c, d)])= [ D (a, b), (c, d)]+ [(a, b), D (c, d)]
for all $a, b, c, d∈A, is a Lie derivation on A^{2}. Furthermore, if A is a Lie Banach^{*}algebra, then D is called a Lie^{*} derivation on A^{2} whenever D is a Lie derivation with D (a, b)^{*}= D (a^{*}, b^{*}) for all a, b∈A. In this paper, we investigate the HyersUlam stability of Lie Banach^{*}algebra homomorphisms and Lie^{* }derivations on the Banach^{*}algebra A^{2}.
Paper's Title:
Ostrowski Type Inequalities for Lebesgue Integral: a Survey of Recent Results
Author(s):
Sever S. Dragomir^{1,2}
^{1}Mathematics, School of Engineering
& Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,
Australia
Email: sever.dragomir@vu.edu.au
^{2}DSTNRF Centre of Excellence in the Mathematical and Statistical Sciences,
School of Computer Science & Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa
URL:
http://rgmia.org/dragomir
Abstract:
The main aim of this survey is to present recent results concerning Ostrowski type inequalities for the Lebesgue integral of various classes of complex and realvalued functions. The survey is intended for use by both researchers in various fields of Classical and Modern Analysis and Mathematical Inequalities and their Applications, domains which have grown exponentially in the last decade, as well as by postgraduate students and scientists applying inequalities in their specific areas.
Paper's Title:
Convergence and Stability Results for New Three Step Iteration Process in Modular Spaces
Author(s):
Naresh Kumar and Renu Chugh
Department of Mathematics,
M.D. University,
Rohtak124001, Haryana,
India.
Email: nks280@gmail.com
Email: chugh.r1@gmail.com
Abstract:
The aim of this paper is to introduce a new iteration process (5) for ρcontraction mappings in Modular spaces. We obtain some analytical proof for convergence and stability of our iteration process (5). We show that our iteration process (5) gives faster convergence results than the leading AK iteration process (4) for contraction mappings. Moreover, a numerical example (using the Matlab Software) is presented to compare the rate of convergence for existing iteration processes with our new iteration process (5).
Paper's Title:
Inequalities for Discrete FDivergence Measures: A Survey of Recent Results
Author(s):
Sever S. Dragomir^{1,2}
^{1}Mathematics, School of Engineering
& Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,
Australia
Email: sever.dragomir@vu.edu.au
^{2}DSTNRF Centre of Excellence in the Mathematical and Statistical Sciences,
School of Computer Science & Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa
URL:
http://rgmia.org/dragomir
Abstract:
In this paper we survey some recent results obtained by the author in providing various bounds for the celebrated fdivergence measure for various classes of functions f. Several techniques including inequalities of Jensen and Slater types for convex functions are employed. Bounds in terms of KullbackLeibler Distance, Hellinger Discrimination and Varation distance are provided. Approximations of the fdivergence measure by the use of the celebrated Ostrowski and Trapezoid inequalities are obtained. More accurate approximation formulae that make use of Taylor's expansion with integral remainder are also surveyed. A comprehensive list of recent papers by several authors related this important concept in information theory is also included as an appendix to the main text.
Paper's Title:
EulerMaclaurin Formulas for Functions of Bounded Variation
Author(s):
G. De Marco, M. De Zotti, C. Mariconda
Dipartimento di Matematica Tullio LeviCivita,
Universita degli Studi di Padova
Via Trieste 63, Padova 35121,
Italy.
Email: carlo.mariconda@unipd.it
URL: http://www.math.unipd.it
Abstract:
The firstorder EulerMaclaurin formula relates the sum of the values of a smooth function on an interval of integers with its integral on the same interval on R. We formulate here the analogue for functions that are just of bounded variation.
Paper's Title:
Action of Differential Operators On Chirpsconstruct On L^{∞}
Author(s):
Taoufik El Bouayachi and Naji Yebari
Laboratoire de Mathematiques et
applications,
Faculty of sciences and techniques, Tangier,
Morocco.
Email:
figo407@gmail.com,
yebarinaji@gmail.com
Abstract:
We will study in this work the action of differential operators on L∞ chirps and we will give a new definition of logarithmic chirp. Finally we will study the action of singular integral operators on chirps by wavelet characterization and Kernel method.
Paper's Title:
Extension of Factorization Theorems of Maurey to spositively Homogeneous Operators
Author(s):
Abdelmoumen Tiaiba
Department of Physics,
University of M'sila,
Algeria.
Email: tiaiba05@yahoo.fr
Abstract:
In the present work, we prove that the class of spositively homogeneous operators is a Banach space. As application, we give the generalization of some Maurey factorization theorems to T which is a spositively homogeneous operator from X a Banach space into L_{p}. Where we establish necessary and sufficient conditions to proof that T factors through L_{q}. After this we give extend result of dual factorization theorem to same class of operators above.
Paper's Title:
Global Analysis on Riemannian Manifolds
Author(s):
Louis Omenyi and Michael Uchenna
Department of Mathematics, Computer
Science, Statistics and Informatics,
Alex Ekwueme Federal University, NdufuAlike,
Nigeria.
Email: omenyi.louis@funai.edu.ng,
michael.uchenna@funai.edu.ng
URL: http://www.funai.edu.ng
Abstract:
In this paper, an exposition of the central concept of global analysis on a Riemannan manifold is given. We extend the theory of smooth vector fields from open subsets of Euclidean space to Riemannan manifolds. Specifically, we prove that a Riemannian manifold admits a unique solution for a system of ordinary differential equations generated by the flow of smooth tangent vectors. The idea of partial differential equations on Riemannian manifold is highlighted on the unit sphere.
Paper's Title:
The Concept of Convergence for 2Dimensional Subspaces Sequence in Normed Spaces
Author(s):
M. Manuharawati, D. N. Yunianti, M. Jakfar
Mathematics Department, Universitas
Negeri Surabaya,
Jalan Ketintang Gedung C8,
Surabaya 60321,
Indonesia.
Email: manuharawati@unesa.ac.id,
dwiyunianti@unesa.ac.id,
muhammadjakfar@unesa.ac.id
Abstract:
In this paper, we present a concept of convergence of sequence, especially, of 2dimensional subspaces of normed spaces. The properties of the concept are established. As consequences of our definition in an inner product space, we also obtain the continuity property of the angle between two 2dimensional subspaces of inner product spaces.
Paper's Title:
A new approach to the study of fixed point for simulation functions with application in Gmetric spaces
Author(s):
Komi Afassinou and Ojen Kumar Narain
Department of Mathematical Sciences,
University of Zululand,
KwaDlangezwa,
South Africa.
Email: komia@aims.ac.za
School of Mathematics, Statistics and
Computer Science,
University of KwaZuluNatal, Durban,
South Africa.
Email: naraino@ukzn.ac.za
Abstract:
The purpose of this work is to generalize the fixed point results of Kumar et al. [11] by introducing the concept of (α,β)Zcontraction mapping, Suzuki generalized (α,β)Zcontraction mapping, (α,β)admissible mapping and triangular (α,β)admissible mapping in the frame work of Gmetric spaces. Fixed point theorems for these class of mappings are established in the frame work of a complete Gmetric spaces and we establish a generalization of the fixed point result of Kumar et al. [11] and a host of others in the literature. Finally, we apply our fixed point result to solve an integral equation.
Paper's Title:
Generalised Models for Torsional Spine Reconnection
Author(s):
Ali Khalaf Hussain AlHachami
Department of Mathematics,
College of Education For Pure Sciences,
Wasit University,
Iraq.
Email: alhachamia@uowasit.edu.iq
Abstract:
Threedimensional (3D) null points are available in wealth in the solar corona, and the equivalent is probably going to be valid in other astrophysical situations. Ongoing outcomes from sun oriented perceptions and from reproductions propose that reconnection at such 3D nulls may assume a significant job in the coronal dynamics. The properties of the torsional spine method of magnetic reconnection at 3D nulls are researched. Kinematic model are created, which incorporate the term ηJ that is spatially localised around the null, stretching out along the spine of the null. The null point is to research the impact of shifting the level of asymmetry of the null point magnetic field on the subsequent reconnection process where past examinations constantly considered a nonnonexclusive radially symmetric null. Specifically we analyse the rate of reconnection of magnetic flux at the spine of null point. Logical arrangements are determined for the enduring kinematic equation, and contrasted and the after effects of torsional spine reconnection models when the current is restricted in which the Maxwell conditions are illuminated. The geometry of the current layers inside which torsional spine reconnection happen is autonomous on the symmetry of the magnetic field. Torsional spine reconnection happens in a thin cylinder around the spine, with circular crosssegment when the fan eigenvalues are extraordinary. The short axis of the circle being along the solid field bearing. Just as it was discovered that the fundamental structure of the method of attractive reconnection considered is unaffected by changing the magnetic field symmetry, that is, the plasma flow is discovered rotational around the spine of null point. The spatiotemporal pinnacle current, and the pinnacle reconnection rate achieved, are found not to rely upon the level of asymmetry.
Paper's Title:
On Ruled Surfaces According to QuasiFrame in Euclidean 3Space
Author(s):
M. Khalifa Saad and R. A. AbdelBaky
Department of Mathematics, Faculty of
Science,
Islamic University of Madinah,
KSA.
Department of Mathematics, Faculty of Science,
Sohag University, Sohag,
EGYPT.
Email:
mohamed_khalifa77@science.sohag.edu.eg,
mohammed.khalifa@iu.edu.sa
Department of Mathematics, Faculty of
Science,
Assiut University, Assiut,
EGYPT.
Email: rbaky@live.com
Abstract:
This paper aims to study the skew ruled surfaces by using the quasiframe of Smarandache curves in the Euclidean 3space. Also, we reveal the relationship between SerretFrenet and quasiframes and give a parametric representation of a directional ruled surface using the quasiframe. Besides, some comparative examples are given and plotted which support our method and main results.
Paper's Title:
Attempts to Define a BaumConnes Map Via Localization of Categories for Inverse Semigroups
Author(s):
Bernhard Burgstaller
Departamento de Matematica,
Universidade Federal de Santa Catarina,
CEP 88.040900 FlorianopolisSC,
Brasil.
Email:
bernhardburgstaller@yahoo.de
URL:
http://mathematik.work/bernhardburgstaller/index.html
Abstract:
An induction functor in inverse semigroup equivariant KKtheory is considered, and together with %a restriction functors certain results similar to those known from the Mackey machinery are shown. It is also verified that for any socalled Econtinuous inverse semigroup its equivariant KKtheory satisfies the universal property and is a triangulated category.
Paper's Title:
Construction of a Frame Multiresolution Analysis on Locally Compact Abelian Groups
Author(s):
R. Kumar and Satyapriya
Department of Mathematics,
Kirori Mal College,
University of Delhi,
Delhi,
India.
Email: rajkmc@gmail.com
Department of Mathematics,
University of Delhi,
Delhi,
India.
Email: kmc.satyapriya@gmail.com
Abstract:
The frame multiresolution analysis (FMRA) on locally compact Abelian groups has been studied and the results concerning classical MRA have been worked upon to obtain new results. All the necessary conditions, which need to be imposed on the scaling function φ to construct a wavelet frame via FMRA, have been summed up. This process of construction of FMRA has aptly been illustrated by sufficient examples.
Paper's Title:
Coexisting Attractors and Bubbling Route to Chaos in Modified Coupled Duffing Oscillators
Author(s):
B. Deruni^{1}, A. S. Hacinliyan^{1,2}, E. Kandiran^{3}, A. C. Keles^{2}, S. Kaouache^{4}, M.S. Abdelouahab^{4}, N.E. Hamri^{4}
^{1}Department
of Physics,
University of Yeditepe,
Turkey.
^{2}Department
of Information Systems and Technologies,
University of Yeditepe,
Turkey
^{3}Department
of Software Development,
University of Yeditepe,
Turkey.
^{4}Laboratory
of Mathematics and their interactions,
University Center of Abdelhafid Boussouf,
Mila 43000,
Algeria.
Email:
berc890@gmail.com
ahacinliyan@yeditepe.edu.tr
engin.kandiran@yeditepe.edu.tr
cihan.keles@yeditepe.edu.tr
s.kaouache@centrunivmila.dz
medsalah3@yahoo.fr
n.hamri@centreunivmila.dz
Abstract:
In this article dynamical behavior of coupled Duffing oscillators is analyzed under a small modification. The oscillators have cubic damping instead of linear one. Although single duffing oscillator has complex dynamics, coupled duffing systems possess a much more complex structure. The dynamical behavior of the system is investigated both numerically and analytically. Numerical results indicate that the system has double scroll attractor with suitable parameter values. On the other hand, bifurcation diagrams illustrate rich behavior of the system, and it is seen that, system enters into chaos with different routes. Beside classical bifurcations, bubbling route to chaos is observed for suitable parameter settings. On the other hand, Multistability of the system is indicated with the coexisting attractors, such that under same parameter setting the system shows different periodic and chaotic attractors. Moreover, chaotic synchronization of coupled oscillators is illustrated in final section.
Paper's Title:
Coefficient Estimates Of Sakaguchi Kind Functions Using Lucas Polynomials
Author(s):
H. Priya and B. Srutha Keerthi
Department of Mathematics,
School of Advanced Sciences,
VIT Chennai Campus,
Chennai  600 048,
India.
Email:
priyaharikrishnan18@gmail.com
Department of Mathematics,
School of Advanced Sciences,
VIT Chennai Campus,
Chennai  600 048,
India.
Email: isruthilaya06@yahoo.co.in
Abstract:
By means of (p,q) Lucas polynomials, we estimate coefficient bounds and FeketeSzego inequalities for functions belonging to this class. Several corollaries and consequences of the main results are also obtained.
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