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ArticleOriginal scientific text

Title

A study of second order differential inclusions with four-point integral boundary conditions

Authors 1, 2

Affiliations

  1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
  2. Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece

Abstract

In this paper, we discuss the existence of solutions for a four-point integral boundary value problem of second order differential inclusions involving convex and non-convex multivalued maps. The existence results are obtained by applying the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.

Keywords

ENG
differential inclusions, four-point integral boundary conditions, existence, nonlinear alternative of Leray Schauder type, fixed point theorems

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2011/31/2
Export to PBN, Opens in new tab
Pages:
137-156
Main language of publication
English
Received
2010-10-28
Published
2011

DOI: 10.7151/dmdico.1131

Exact and natural sciences