BOUNDARY VALUE PROBLEMS FOR n-TH ORDER DIFFERENTIAL INCLUSIONS WITH FOUR-POINT INTEGRAL BOUNDARY CONDITIONS

被引：8

作者：

Ahmad, Bashir ^{[1
]}

Ntouyas, Sotiris K. ^{[2
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece

来源：

OPUSCULA MATHEMATICA | 2012年 / 32卷 / 02期

关键词：

differential inclusions; four-point integral boundary conditions; existence; non-linear alternative of Leray Schauder type; fixed point theorems;

D O I：

10.7494/OpMath.2012.32.2.205

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：205 / 226

页数：22

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