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：
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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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