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

被引：0

作者：

Yang Yang

Ji-hui Zhang

机构：

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

[2] Jiangnan University,School of Science

来源：

Applied Mathematics and Mechanics | 2010年 / 31卷

关键词：

boundary value problem; critical point; invariant sets; retracting property; O29; 34B15; 46N20; 49J35;

D O I：

暂无

中图分类号：

学科分类号：

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 fourth-order 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.

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页码：377 / 384

页数：7

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