Opuscula Math. 32, no. 2 (2012), 205-226
http://dx.doi.org/10.7494/OpMath.2012.32.2.205
Opuscula Mathematica
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.
- 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
- Received: 2011-01-11.
- Revised: 2011-04-06.
- Accepted: 2011-04-07.
