Existence of solutions for a fully nonlinear fourth-order two-point boundary value problem

被引：8

作者：

Pei M. ^{[1
]}

Chang S.K. ^{[2
]}

机构：

[1] Department of Mathematics, Beihua University

[2] Department of Mathematics, Yeungnam University

来源：

Journal of Applied Mathematics and Computing | 2011年 / 37卷 / 1-2期

关键词：

Boundary value problem; Existence; Leray-Schauder degree theory; Nagumo condition;

D O I：

10.1007/s12190-010-0434-3

中图分类号：

学科分类号：

摘要：

In this paper, we investigate the existence of solutions of a fully nonlinear fourth-order differential equation x(4)=f(t,x,x′, x″,x″′, [t∈[0,1 with one of the following sets of boundary value conditions; x′(0)=x(1)=a0x″(0)-b 0x″′(0)=a1x″(1)+b 1x″′(1)=0, x(0)=x″(1)=a0x″(0)- b0x″′(0)=a1x″(1)+b 1x″′(1)=0 By using the Leray-Schauder degree theory, the existence of solutions for the above boundary value problems are obtained. Meanwhile, as an application of our results, an example is given. © 2010 Korean Society for Computational and Applied Mathematics.

引用

页码：287 / 295

页数：8

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