Existence of homoclinic solutions for a fourth order differential equation with a parameter

被引：20

作者：

Li, Tiexiang ^{[1
]}

Sun, Juntao ^{[2
]}

Wu, Tsung-Fang ^{[3
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 211189, Jiangsu, Peoples R China

[2] Sharif Univ Technol, Sch Sci, Zibo 255049, Peoples R China

[3] Univ KwaZulu Natal, Dept Appl Math, Kaohsiung 811, Taiwan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 251卷

关键词：

Fourth order differential equations; Homoclinic solutions; Mountain pass theorem; Variational methods; SWIFT-HOHENBERG; SYSTEMS;

D O I：

10.1016/j.amc.2014.11.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of homoclinic solutions for a class of fourth order differential equations. By using variational methods, the existence and the non-existence of nontrivial homoclinic solutions are obtained, depending on a parameter. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：499 / 506

页数：8

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