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Your search keyword '"Ntouyas, S.K."' showing total 38 results
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38 results on '"Ntouyas, S.K."'

2. A COUPLED SYSTEM OF NONLOCAL FRACTIONAL DIFFERENTIAL EQUATIONS WITH COUPLED AND UNCOUPLED SLIT-STRIPSTYPE INTEGRAL BOUNDARY CONDITIONS

Author

Ahmad, B. and Ntouyas, S.K.

Subjects
Differential equations, Mathematics
Abstract

The paper deals with with the existence and uniqueness of solutions for a coupled system of fractional differential equations with coupled and uncoupled slit-strips-type integral boundary conditions. The existence and uniqueness of solutions is established by using the Banach contraction principle, while the existence of solutions is obtained by using the Leray-Schauder alternative. The results are explained with the help of examples., UDC 517.9 1. Introduction The study of boundary-value problems for linear and nonlinear differential equations is a popular field of research that finds extensive applications in a variety of disciplines [...]

Published
2017
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25. A coupled system of nonlocal fractional differential equations with coupled and uncoupled slit-strips integral boundary conditions

Author

Ahmad, B. and Ntouyas, S.K.

Abstract

This paper is concerned with the existence and uniqueness of solutions for a coupled system of fractional differential equations with coupled and uncoupled slit-strips integral boundary conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray – Schauder’s alternative. The results are explained with the aid of examples. Розглядається iснування та єдинiсть розв’язкiв з’єднаних систем нелокальних диференцiальних рiвнянь дробового порядку зi з’єднаними та нез’єднаними розщепленими смугами в iнтегральних граничних умовах. Iснування та єдинiсть розв’язкiв встановлено за допомогою теореми Банаха про стискаючi вiдображення. Iснування розв’язкiв доведено з використанням альтернативи Лерея – Шаудера. Результати пояснено за допомогою прикладiв.

Published
2016

26. On Sturm - Liouville and Thomas - Fermi Singular Boundary-Value Problems

Author

Ntouyas, S.K. and Palamides, P.K.

Abstract

In this paper we investigate the existence of a positive solution of a second order singular Sturm – Liouville boundary-value problem, by constructing upper and lower solutions and combined them with properties of the consequent mapping. Applications to well known Emden – Fowler and Thomas – Fermi boundary-value problems are also presented. Further we generalize some of O’Regan’s results, allowing constants in the boundary conditions to be negative.

Published
2001

27. Impulsive functional differential equations with variable times

Author

Benchohra, M. and Ntouyas, S.K.

Subjects
*DIFFERENTIAL equations, *BESSEL functions, *CALCULUS, *TRANSCENDENTAL functions, *MATHEMATICS
Abstract

Abstract: In this note, a Schaefer fixed-point theorem is used to investigate the existence of solutions for first-order impulsive functional differential equations with variable times. [Copyright &y& Elsevier]

Published
2004
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28. Existence results for impulsive hyperbolic differential inclusions.

Author

Benchohra, M., Gorniewicz, L., Ntouyas, S.K., and Ouahab, A.

Subjects
HYPERBOLIC differential equations, BANACH spaces, FIXED point theory, CONVEX geometry
Abstract

In this article we investigate the existence of solutions for second order impulsive hyperbolic differential inclusions in separable Banach spaces. By using suitable fixed point theorems, we study the case when the multi-valued map has convex and non-convex values. [ABSTRACT FROM AUTHOR]

Published
2003
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37. Upper and lower solutions method for first-order impulsive differential inclusions with nonlinear boundary conditions

Author

Benchohra, M, Henderson, J, Ntouyas, S.K, and Ouahab, A

Subjects
*MATHEMATICAL mappings, *BOUNDARY value problems, *DIFFERENTIAL equations, *NONLINEAR differential equations, *COMPLEX variables
Abstract

In this paper, a fixed-point theorem for condensing multivalued maps due to Martelli combined with the concept of upper and lower solutions is used to investigate the existence of solutions for first-order impulsive differential inclusions with nonlinear boundary conditions. [Copyright &y& Elsevier]

Published
2004
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38. Impulsive neutral functional differential inclusions in Banach spaces

Author

Benchohra, M., Henderson, J., and Ntouyas, S.K.

Subjects
*BANACH spaces, *DIFFERENTIAL inclusions
Abstract

The aim of this paper is to study the existence of solutions to some classes of impulsive neutral functional differential inclusions in Banach spaces. We shall make use of a fixed-point theorem for contraction multivalued maps due to Covitz and Nadler. [Copyright &y& Elsevier]

Published
2002
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