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The Australian Journal of Mathematical Analysis and Applications
ISSN 1449-5910 |
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Paper's Title:
Positive Solutions for Systems of Three-point Nonlinear Boundary Value Problems
Author(s):
J. Henderson and S. K. Ntouyas
Department of Mathematics, Baylor University
Waco, Texas
76798-7328 USA.
Johnny_Henderson@baylor.edu
URL: http://www3.baylor.edu/~Johnny_Henderson
Department of Mathematics, University of Ioannina
451 10 Ioannina,
Greece.
sntouyas@cc.uoi.gr
URL: http://www.math.uoi.gr/~sntouyas
Abstract:
Values of λ are determined for which there exist
positive solutions of the system of three-point boundary value problems,
u''(t)+ λa(t)f(v(t))=0, v''(t)+λb(t)g(u(t))=0,
for 0 < t <1, and
satisfying, u(0) = 0, u(1)=α u(η),
v(0) = 0, v(1)=α v(η). A Guo-Krasnosel'skii fixed
point theorem is applied. 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:
Existence of solutions for Neutral Stochastic Functional Differential Systems with Infinite Delay in Abstract Space
Author(s):
P. Balasubramaniam, A. V. A. Kumar and S. K. Ntouyas
Department of Mathematics, Gandhigram Rural Institute,
Department of Mathematics, Gandhigram Rural Institute,
Department of Mathematics, University of Ioannina, Abstract:
In this paper we prove existence results for semilinear stochastic neutral functional differential systems with unbounded delay in abstract space. Our theory makes use of analytic semigroups and fractional power of closed operators and Sadovskii fixed point theorem. Paper's Title:
Existence Results for Second Order Impulsive Functional Differential Equations with Infinite Delay Author(s):
M. Lakrib, A. Oumansour and K. Yadi
Laboratoire de Mathématiques, Université Djillali Laboratoire de Mathématiques, Université Abou Bekr Abstract:
In this paper we study the existence of solutions for second order
impulsive functional differential equations with infinite delay.
To obtain our results, we apply fixed point methods. Paper's Title:
Existence Results for Perturbed Fractional Differential
Inclusions
Author(s):
Y.-K. Chang
Department of Mathematics, Abstract:
This paper is mainly concerned with the following fractional differential
inclusions with boundary condition
A sufficient condition is established for the existence of solutions of the
above problem by using a fixed point theorem for multivalued maps due to
Dhage. Our result is proved under the mixed generalized Lipschitz and
Carathéodory conditions. Paper's Title:
Solving Strongly Nonlinear Fractional Fredholm Integral-Differential Equations in Caputo's Sense Using the SBA Method
Author(s):
Germain Kabore1,
Bakari Abbo2,
Ousseni So3
and Blaise Some1 1Laboratoire
d'Analyse Numerique, Informatique et de Biomathmathiques (L.N.I.BIO), 2University
of N'Damena, Tchad. 3Laboratoire
d'Analyse Numerique, Informatique et de Biomathemathiques (L.N.I.BIO), Abstract:
The work addressed in this article consists in constructing the exact solutions, where they exist, of fractional Fredholm-type integro-differential equations in the sense of Caputo. Our results are obtained using the SBA method. The simplification of the approach, the analysis of its convergence, and the generalization of this method to these types of highly nonlinear equations constitute our scientific contribution. Paper's Title:
Refinement of Jensen's Inequality for Analytical Convex (Concave) Functions Author(s):
P. Kórus, Z. Retkes Institute of Applied Pedagogy, 65 Manor Road, Desford, LE9 9JQ, Abstract:
The well-known Jensen inequality and Hermite--Hadamard
inequality were extended using iterated integrals by Z. Retkes in 2008 and then
by P. Kórus in 2019. In this paper, we consider analytical convex (concave) functions in order to obtain new refinements of Jensen's inequality. We apply the main result to the classical HM--GM--AM, AM--RMS, triangle inequalities and present an application to the geometric series. We also give Mercer type variants of Jensen's inequality. Search and serve lasted 1 second(s).
5: 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
3: Paper Source
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Deemed University, Gandhigram - 624 302,
Tamil Nadu, India.
pbalgri@rediffmail.com
Deemed University, Gandhigram - 624 302,
Tamil Nadu, India.
nnddww@tom.com
451 10 Ioannina,
Greece.
sntouyas@cc.uoi.gr
URL: http://www.math.uoi.gr/~sntouyas
3: Paper Source
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Liabées, B.P. 89 Sidi Bel Abbès 22000, Algérie
mlakrib@univ-sba.dz
oumansour@univ-sba.dz
Belkaid, B.P. 119 Tlemcen 13000, Algérie
k_yadi@mail.univ-tlemcen.dz
1: Paper Source
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Lanzhou Jiaotong University, Lanzhou, Gansu 730070, People's
Republic of China
lzchangyk@163.com
1: Paper Source
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Universite Joseph Ki-Zerbo,
Burkina Faso.
E-mail: germainkabore982@gmail.com,
blaisesomeouaga1@gmail.com
E-mail: bakariabbo@yahoo.fr
Ecole Normale Superieure,
Burkina Faso.
E-mail: sousseni@yahoo.fr
1: Paper Source
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Juhász Gyula Faculty of Education,
University of Szeged,
Hattyas utca 10, H-6725 Szeged,
Hungary.
E-mail: korus.peter@szte.hu
United Kingdom.
E-mail:
tigris35711@gmail.com
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