On the solvability of a boundary value problem for a fourth-order ordinary differential equation

被引：39

作者：

Grossinho, MD

Sanchez, L

Tersian, SA

机构：

[1] Univ Rousse, Ctr Appl Math & Informat, Rousse 7017, Bulgaria

[2] Univ Tecn Lisboa, Dept Matemat, ISEG, P-1200781 Lisbon, Portugal

[3] Univ Lisbon, CMAF, P-1649003 Lisbon, Portugal

来源：

APPLIED MATHEMATICS LETTERS | 2005年 / 18卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

fourth-order equations; variational methods;

D O I：

10.1016/j.aml.2004.03.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence and multiplicity of nontrivial periodic solutions for a semilinear fourth-order ordinary differential equation arising in the study of spatial patterns for bistable systems. Variational tools such as the Brezis-Nirenberg theorem and Clark theorem are used in the proofs of the main results. (c) 2004 Elsevier Ltd. All rights reserved.

引用

页码：439 / 444

页数：6

共 11 条

[1] REMARKS ON FINDING CRITICAL-POINTS [J].