Opuscula Math. 32, no. 2 (2012), 205-226
Boundary value problems for n-th order differential inclusions with four-point integral boundary conditions
Bashir Ahmad
Sotiris K. Ntouyas
Abstract.
In this paper, we discuss the existence of solutions for a four-point integral boundary value problem of \(n\)-th 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:
differential inclusions, four-point integral boundary conditions, existence, nonlinear alternative of Leray Schauder type, fixed point theorems.
Mathematics Subject Classification:
34A60, 34B10, 34B15.
About the authors ▼
Bashir Ahmad
King Abdulaziz University, Faculty of Science, Department of Mathematics, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Sotiris K. Ntouyas
University of Ioannina, Department of Mathematics, 451 10 Ioannina, Greece
About the article ▼
Received: 2011-01-11.
Revised: 2011-04-06.
Accepted: 2011-04-07.
Cite this article as ▼
Bashir Ahmad, Sotiris K. Ntouyas, Boundary value problems for n-th order differential inclusions with four-point integral boundary conditions, Opuscula Math. 32, no. 2 (2012), 205-226,
http://dx.doi.org/10.7494/OpMath.2012.32.2.205.
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