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

被引：19
|
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.
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页码：499 / 506
页数：8
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