Existence of symmetric solutions for a fourth-order multi-point boundary value problem with a p-Laplacian at resonance

被引：4
作者：
Yang A. [1 ]
Ge W. [1 ]
机构：
[1] Department of Applied Mathematics, Beijing Institute of Technology
来源：
Journal of Applied Mathematics and Computing | 2009年 / 29卷 / 1-2期
关键词：
Multi-point boundary value problem; P-Laplacian; Resonance; Symmetric solution;
D O I：
10.1007/s12190-008-0131-7
中图分类号：
学科分类号：
摘要：
In this paper, we study the existence of nonconstant symmetric solutions for a kind of p-Laplacian fourth-order differential equations with multi-point boundary value conditions. After translating the fourth-order nonlinear equation into a second-order system, we obtain the conditions for solvability of the given boundary value problem. An example is given to illustrate the result.
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页码：301 / 309
页数：8
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