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The Australian Journal of Mathematical Analysis and Applications
ISSN 1449-5910 |
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Paper's Title:
On the Asymptotic Behavior of Solutions of Third Order Nonlinear Differential Equations
Author(s):
Ivan Mojsej and Alena Tartaľová
Institute of Mathematics,
Faculty of Science, P. J. Šafárik University,
Jesenná 5, 041 54 Košice,
Slovak Republic
ivan.mojsej@upjs.sk
Department of Applied Mathematics and Business Informatics,
Faculty of Economics,
Technical University,
Nemcovej 32, 040 01 Košice,
Slovak Republic
alena.tartalova@tuke.sk
Abstract:
This paper is concerned with the asymptotic behavior of solutions of nonlinear differential equations of the
third order with quasiderivatives. Mainly, we present the necessary and sufficient conditions for the existence
of nonoscillatory solutions with specified asymptotic behavior as Paper's Title:
A Nonhomogeneous Subdiffusion Heat Equation Author(s):
Joel-Arturo Rodriguez-Ceballos, Ana-Magnolia Marin, Ruben-Dario Ortiz Instituto Tecnológico de Morelia, E-mail:
joel@ifm.umich.mx Universidad de Cartagena, E-mail:
amarinr@unicartagena.edu.co E-mail:
joel@ifm.umich.mx Abstract:
In this paper we consider a nonhomogeneous subdiffusion heat equation of
fractional order with Dirichlet boundary conditions. Paper's Title:
Trapping of Water Waves By Underwater
Ridges Author(s):
1A. M. Marin,
1R. D.
Ortiz and 2J. A. Rodriguez-Ceballos. 2Instituto Tecnológico de
Morelia Facultad de Ciencias Fisico Matematicas Abstract:
As is well-known, underwater ridges and
submerged horizontal cylinders can serve as waveguides for surface water waves.
For large values of the wavenumber in the direction of the ridge, there is only
one trapped wave (this was proved in Bonnet & Joly (1993, SIAM J. Appl. Math.
53, pp 1507-1550)). Paper's Title:
Solving Two Point Boundary Value Problems by Modified Sumudu Transform Homotopy Perturbation Method Author(s):
Asem AL Nemrat and Zarita Zainuddin School of Mathematical Sciences, Abstract:
This paper considers a combined form of the Sumudu transform with the modified homotopy perturbation method (MHPM) to find approximate and analytical solutions for nonlinear two point boundary value problems. This method is called the modified Sumudu transform homotopy perturbation method (MSTHPM). The suggested technique avoids the round-off errors and finds the solution without any restrictive assumptions or discretization. We will introduce an appropriate initial approximation and furthermore, the residual error will be canceled in some points of the interval (RECP). Only a first order approximation of MSTHPM will be required, as compared to STHPM, which needs more iterations for the same cases of study. After comparing figures between approximate, MSTHPM, STHPM and numerical solutions, it is found through the solutions we have obtained that they are highly accurate, indicating that the MSTHPM is very effective, simple and can be used to solve other types of nonlinear boundary value problems (BVPs). Paper's Title:
Solving Fixed Point Problems and Variational Inclusions Using Viscosity Approximations Author(s):
P. Patel, R. Shukla Department of Mathematics, School of
Advanced Sciences, VIT-AP University\\ Department of Mathematical Sciences &
Computing, Walter Sisulu University, Abstract:
This paper proposes a new algorithm to find a common element of the fixed point set of a finite family of demimetric mappings and the set of solutions of a general split variational inclusion problem in Hilbert spaces. The algorithm is based on the viscosity approximation method, which is a powerful tool for solving fixed point problems and variational inclusion problems. Under some conditions, we prove that the sequence generated by the algorithm converges strongly to this common solution. 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,
Laboratoire de Mathématiques, Université de Sidi Bel Abbés 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 Leray-Schauder. For the global existence
and uniqueness we apply a recent Frigon and Granas nonlinear
alternative of Leray-Schauder type in Fréchet spaces. Paper's Title:
Bilinear Regular Operators on Quasi-Normed Functional Spaces Author(s):
D. L. Fernandez and E. B. Silva Universidade Estadual de Campinas -
Unicamp Universidade Estadual de Maringa--UEM Abstract:
Positive and regular bilinear operators on quasi-normed functional spaces are introduced and theorems characterizing compactness of these operators are proved. Relations between bilinear operators and their adjoints in normed functional spaces are also studied. Paper's Title:
A Majorization Problem for the Subclass of p-Valently
Analytic Functions of Complex Order
Author(s):
Sezgin Akbulut Department of Mathematics, Science and Art Faculty, Abstract:
The main purpose of this paper is to investigate a majorization problem for the
class
Paper's Title:
Komatu Integral Transforms of Analytic Functions Subordinate to Convex Functions
Author(s):
T. N. Shanmugam and C. Ramachandran
Department of Mathematics, College of Engineering,
Department of Mathematics, College of Engineering, Abstract:
In this paper, we consider the class A of the functions f(z) of the form
which are analytic in an open disk
has some property. Certain inclusion and the closure properties like convolution with convex univalent function etc. are studied.
Paper's Title:
A Coefficient Inequality For Certain Subclasses of Analytic
Functions Related to Complex Order
Author(s):
B. Srutha Keerthi, B. Adolf Stephen and S. Sivasubramanian
Department Of Applied Mathematics, Sri Venkateswara College Of Engineering, Anna University,
Department of Mathematics, Madras Christian College,
Chennai - 600059,
Department of Mathematics, College of Engineering, Anna University, Abstract:
In this present investigation, the authors obtain coefficient
inequality for certain normalized analytic functions of complex order f(z) defined
on the open unit disk for which
Paper's Title:
Subordination Results Associated with Hadamard Product
Author(s):
S. Sivasubramanian, C.
Ramachandran and B. A. Frasin Department of Mathematics, Department of Mathematics, Department of Mathematics, Abstract:
In the present investigation, we consider an unified class of
functions of complex order using Hadamard's convolution. We obtain
a necessary and sufficient condition for functions to be in these
classes.
Paper's Title:
MSplit Equality for Monotone Inclusion Problem and Fixed Point Problem in
Real Banach Spaces Author(s):
1,2Christian Chibueze Okeke,
3Abdumalik Usman Bello, 1Chinedu Izuchukwu, and
1Oluwatosin Temitope Mewomo 1School
of Mathematics, 2DST-NRF
Center of Excellence in Mathematical and Statistical Sciences (CoE-Mass) 3Federal
University, Abstract:
In this paper a new iterative algorithm for approximating a common solution of split equality monotone inclusion problem and split equality fixed point problem is introduced. Using our algorithm, we state and prove a strong convergence theorem for approximating an element in the intersection of the set of solutions of a split equality monotone inclusion problem and the set of solutions of a split equality fixed point problem for right Bregman strongly nonexpansive
mappings in the setting of p-uniformly convex Banach spaces which are also uniformly smooth. We also give some applications. Paper's Title:
Fractional class of analytic functions Defined Using q-Differential Operator
Author(s):
K . R. Karthikeyan, Musthafa Ibrahim and S. Srinivasan Department of Mathematics and
Statistics, College of Engineering, Department of Mathematics, Presidency
College (Autonomous), Abstract:
We define a q-differential fractional operator, which
generalizes Salagean and Ruscheweyh differential operators. We introduce and study a new class of analytic functions involving q-differential fractional operator. We also determine the necessary and sufficient conditions for functions to be in the class. Further, we obtain the coefficient estimates, extreme points, growth and distortion bounds. Paper's Title:
A Multivalued Version of the
Radon-Nikodym Theorem, via the Single-valued Gould Integral Author(s):
Domenico Candeloro1, Anca Croitoru2, Alina Gavriluţ2, Anna Rita Sambucini1 1Dept. of Mathematics and Computer
Sciences, 2Faculty of Mathematics, Abstract:
In this paper we consider a Gould type integral of
real functions with respect to a compact and convex valued not necessarily additive measure.
In particular we will introduce
the concept of integrable multimeasure and, thanks to this notion, we will establish
an exact Radon-Nikodym theorem relative to a fuzzy multisubmeasure which is new also in the finite dimensional case.
Some results concerning the Gould integral are also obtained. Paper's Title:
Iterative Algorithm for Split Generalized Mixed Equilibrium Problem Involving Relaxed Monotone Mappings in Real Hilbert Spaces Author(s):
1U.A. Osisiogu, F.L. Adum, and
2C. Izuchukwu 1Department of Mathematics and
Computer Science, 2School of Mathematics,
Statistics and Computer Science, Abstract:
The main purpose of this paper is to introduce a certain class of split generalized mixed equilibrium problem involving relaxed monotone mappings. To solve our proposed problem, we introduce an iterative algorithm and obtain its strong convergence to a solution of the split generalized mixed equilibrium problems in Hilbert spaces. As special cases of the proposed problem, we studied the proximal split feasibility problem and variational inclusion problem.
Paper's Title:
A Low Order Least-Squares Nonconforming Finite Element Method for Steady Magnetohydrodynamic Equations Author(s):
Z. Yu, D. Shi and H. Zhu College of Science, School of Mathematics and Statistics, Mathematics Department, Abstract:
A low order least-squares nonconforming finite element (NFE) method is
proposed for magnetohydrodynamic equations with EQ1rot
element and zero-order Raviart-Thomas element. Based on the above element's
typical interpolations properties, the existence and uniqueness of the
approximate solutions are proved and the optimal order error estimates for the
corresponding variables are derived. Paper's Title:
The Effect of Harvesting Activities on Prey-Predator Fishery Model with Holling type II in Toxicant Aquatic Ecosystem Author(s):
Moh Nurul Huda, Fidia Deny Tisna Amijaya, Ika Purnamasari Department of Mathematics, Faculty of
Mathematics and Natural Science, Abstract:
This paper discussed prey-predator fishery models, in particular by analysing the effects of toxic substances on aquatic ecosystems. It is assumed in this model, that the prey population is plankton and the predator population is fish.\ Interaction between the two populations uses the Holling type II function. The existence of local and global critical points of the system are shown and their stability properties are analysed. Furthermore, Bionomic equilibrium and optimal control of harvesting are discussed. Finally, numerical simulations have been carried out to show in the interpretation of results. Paper's Title:
A Self-adaptive Subgradient Extragradient Algorithm for Variational Inequality Problems and Fixed Point Problems in Banach Spaces Author(s):
F. U. Ogbuisi School of Mathematics, Statistics and
Computer Science, Department of Mathematics, Abstract:
In this paper, we propose and analyze a type of subgradient extragradient algorithm for the approximation of a solution of variational inequality problem which is also a common fixed point of an infinite family of relatively nonexpansive mappings in 2-uniformly convex Banach spaces which are uniformly smooth. By using the generalized projection operator, we prove a strong convergence theorem which does not require the prior knowledge of the Lipschitz constant of cost operator. We further applied our result to constrained convex minimization problem, convex feasibility problem and infinite family of equilibrium problems. Our results improve and complement related results in 2-uniformly convex and uniformly smooth Banach spaces and Hilbert spaces. Paper's Title:
Geometrical Properties of Subclass of Analytic Function with Odd Degree Author(s):
K. Sivagami Sundari and B. Srutha Keerthi Divison of Mathematics, School of
Advanced Sciences, Divison of Mathematics, School of
Advanced Sciences, Abstract:
The objective of the paper is to study the geometrical
properties of the class B(λ, t).
For which we have proved that the radius
Paper's Title:
A New Iterative Approximation of a Split Fixed Point Constraint Equilibrium Problem
Author(s):
Musa Adewale Olona1, Adhir Maharaj2 and Ojen Kumar Narain3 1School
of Mathematics, Statistics and Computer Science, 2Department
of Mathematics, 3School
of Mathematics, Statistics and Computer Science, Abstract:
The purpose of this paper is to introduce an iterative algorithm for approximating an element in the solution set of the common split feasibility problem for fixed points of demimetric mappings and equilibrium problem for monotone mapping in real Hilbert spaces. Motivated by self-adaptive step size method, we incorporate the inertial technique to accelerate the convergence of the proposed method and establish a strong convergence of the sequence generated by the proposed algorithm. Finally, we present a numerical example to illustrate the significant performance of our method. Our results extend and improve some existing results in the literature. Search and serve lasted 1 second(s).
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Morelia, Michoacan,
Mexico
Campus San Pablo,
Cartagena de Indias, Bolivar,
Colombia
3: Paper Source
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1Facultad de Ciencias Exactas y Naturales
Universidad de Cartagena
Sede Piedra de Bolivar, Avenida del Consulado
Cartagena de Indias, Bolivar,
Colombia.
Universidad Michoacana
Tecnológico
1500, Col. Lomas de Santiaguito Edificio Be ,
Ciudad Universitaria,
58120 Morelia, Michoacan,
Mexico.
amarinr@unicartagena.edu.co,
ortizo@unicartagena.edu.co.
URL: www.unicartagena.edu.co.
We construct the asymptotics of these trapped waves and their frequencies at
high frequency by means of reducing the initial problem to a pair of boundary
integral equations and then by applying the method of Zhevandrov & Merzon (2003,
AMS Transl. (2) 208, pp 235-284), in order to solve
them.
3: Paper Source
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Universiti Sains Malaysia,
11800 Penang,
Malaysia.
E-mail: alnemrata@yahoo.com
zarita@usm.my
3: Paper Source
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Amaravati, 522237, Andhra Pradesh,
India.
E-mail:
prashant.patel9999@gmail.com,
prashant.p@vitap.ac.in
Mthatha 5117,
South Africa.
E-mail: rshukla@wsu.ac.za
2: Paper Source
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Waco, Texas 76798-7328
USA.
Johnny_Henderson@baylor.edu
BP 89, 22000 Sidi Bel Abbées,
Algérie.
ouahab@univ-sba.dz
2: Paper Source
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Instituto de Matematica
Campinas - SP
Brazil.
E-mail: dicesar@ime.unicamp.br
Departamento de Matematica
Av.~Colombo 5790
Maringa - PR
Brazil.
E-mail: ebsilva@uem.br
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Atatürk University, 25240 Erzurum, Turkey
sbulut@atauni.edu.tr
. Relevant connections of the main result obtained in this paper with those given
by earlier workers on the subject are also pointed out.
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Anna University, Chennai-600 025, Tamilnadu,
India
shan@annauniv.edu
Anna University, Chennai-600 025, Tamilnadu,
India
crjsp2004@yahoo.com
and study certain subclass of the class A, for which
1: Paper Source
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Sriperumbudur, Chennai - 602 105,
India.
laya@svce.ac.in
India
adolfmcc2003@yahoo.co.in
Tamilnadu, Chennai - 600 025,
India.
sivasaisastha@rediffmail.com
(
and 
be a complex number) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also
certain applications of the main result for a class of functions of complex order
defined by convolution are given. As a special case of this result, coefficient
inequality for a class of functions defined through fractional derivatives is
obtained. The motivation of this paper is to give a generalization of the
coefficient inequalities of the subclasses of starlike and convex functions of
complex order.
1: Paper Source
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University College of Engineering,
Anna University,
Saram-604 307,
India
University College of Engineering,
Anna University,
Villupuram,
India
Al al-Bayt University,
P.O. Box: 130095 Mafraq,
Jordan
1: Paper Source
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Statistics and Computer Science,
University of KwaZulu-Natal, Durban,
South Africa.
E-mail: okekec@ukzn.ac.za
E-mail: izuchukwuc@ukzn.ac.za
E-mail: mewomoo@ukzn.ac.za
Johannesburg,
South Africa.
Dutsin-Ma, Katsina State,
Nigeria.
E-mail:
uabdulmalik@fudutsinma.edu.ng
1: Paper Source
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Caledonian College of Engineering, Muscat,
Sultanate of Oman.
E-mail: kr_karthikeyan1979@yahoo.com
University of Buraimi, Al Buraimi,
Sultanate of Oman.
E-mail: musthafa.ibrahim@gmail.com
Chennai-600005, Tamilnadu,
India.
1: Paper Source
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University of Perugia,
1, Via Vanvitelli -- 06123, Perugia,
Italy.
E-mail: domenico.candeloro@unipg.it,
anna.sambucini@unipg.it
Al. I. Cuza University,
700506 Iaşi,
Romania.
E-mail: croitoru@uaic.ro,
gavrilut@uaic.ro
1: Paper Source
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Ebonyi State University, Abakaliki,
Nigeria.
E-mail: uosisiogu@gmail.com,
adumson2@yahoo.com
University of KwaZulu-Natal, Durban,
South Africa.
E-mail: izuchukwuc@ukzn.ac.za,
izuchukwu_c@yahoo.com
1: Paper Source
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Zhongyuan
University of Technology,
Zhengzhou 450007,
China.
E-mail:
5772@zut.edu.cn
Zhengzhou University,
Zhengzhou 450001,
China.
E-mail:
shi_dy@126.com
University of Southern Mississippi,
Hattiesburg MS, 39406,
U.S.A
E-mail:
huiqing.zhu@usm.edu
1: Paper Source
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Mulawarman University,
Samarinda, East Kalimantan,75123
Indonesia.
E-mail: muh.nurulhuda@fmipa.unmul.ac.id
fidiadta@fmipa.unmul.ac.id
ika.purnamasari@fmipa.unmul.ac.id
1: Paper Source
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University of KwaZulu-Natal, Durban,
South Africa.
University of Nigeria, Nsukka,
Nigeria.
E-mail: ferdinard.ogbuisi@unn.edu.ng
fudochukwu@yahoo.com
1: Paper Source
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Vellore Institute of Technology, Chennai Campus, Chennai - 600 127,
India.
E-mail: sivagamisundari.2298@gmail.com
Vellore Institute of Technology, Chennai Campus, Chennai - 600 127,
India.
E-mail: keerthivitmaths@gmail.com
is optimal ,(i.e)
the number
cannot be replaced by a larger one. Additionally, the graphs for various values of t and
λ are compared in order to study the sharpness of the coefficient bounds.
1: Paper Source
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University of KwaZulu-Natal, Durban,
South Africa.
E-mail: 219095783@stu.ukzn.ac.za
Durban University of Technology, Durban,
South Africa.
E-mail: adhirm@dut.ac.za
University of KwaZulu-Natal, Durban,
South Africa.
E-mail: naraino@ukzn.ac.za
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