Existence of solutions for fourth-order boundary value problem with parameter

被引：0

作者：

杨阳 ^{[1
,2
]}

张吉慧 ^{[1
]}

机构：

[1] Institute of Mathematics,School of Mathematical Science,Nanjing Normal University

[2] School of Science,Jiangnan University

来源：

Applied Mathematics and Mechanics(English Edition) | 2010年 / 31卷 / 03期

基金：

中国国家自然科学基金;

关键词：

boundary value problem; critical point; invariant sets; retracting property;

D O I：

暂无

中图分类号：

O175.8 [边值问题];

学科分类号：

070104 ;

摘要：

This paper is a sequel to a previous paper (Yang,Y.and Zhang,J.H.Existence of solutions for some fourth-order boundary value problems with parameters.Nonlinear Anal.69(2),1364–1375 (2008)) in which the nontrivial solutions to the fourthorder boundary value problems were studied.In the current work with the same conditions near infinity but different near zero,the positive,negative,and sign-changing solutions are obtained by the critical point theory,retracting property,and invariant sets.

引用

页码：377 / 384

页数：8

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