Multiplicity of Homoclinic Solutions for a Class of Nonperiodic Fourth-Order Differential Equations with General Perturbation

被引：5
|
作者：
Yang, Liu [1 ]
机构：
[1] Hengyang Normal Univ, Dept Math & Comp Sci, Hengyang 421008, Hunan, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
SWIFT-HOHENBERG;
D O I：
10.1155/2014/126435
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a class of nonperiodic fourth-order differential equations with general perturbation. By using the mountain pass theorem and the Ekeland variational principle, we obtain that such equations possess two homoclinic solutions. Recent results in the literature are generalized and significantly improved.
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页数：5
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