Journal of Applied Mathematics and Computing
Volume 29, Numbers 1-2, 301-309, DOI: 10.1007/s12190-008-0131-7

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

Aijun Yang and Weigao Ge

View Related Documents

Abstract

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.

Keywords  Multi-point boundary value problem - Resonance - Symmetric solution -  p-Laplacian

Mathematics Subject Classification (2000)  34B10 - 34B15 - 34B45

Supported by NNSF of China (10671012) and SRFDP of China (20050007011).

Fulltext Preview

Image of the first page of the fulltext document