Infinitely many homoclinic solutions for a class of nonlinear difference equations

被引：0

作者：

Chen, Peng ^{[1
]}

Wang, Zhengmei ^{[2
]}

机构：

[1] China Three Gorges Univ, Sch Sci, Yichang 443002, Hubei, Peoples R China

[2] Wuhan Univ Technol, Sch Transport, Wuhan 438000, Hubei, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2012年 / 47期

关键词：

Homoclinic solutions; Difference equation; Symmetric Mountain Pass Theorem; PERIODIC-SOLUTIONS; SUBHARMONIC SOLUTIONS; HAMILTONIAN-SYSTEMS; POSITIVE SOLUTIONS; 2ND-ORDER; EXISTENCE; ORBITS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the Symmetric Mountain Pass Theorem, we establish some existence criteria to guarantee a class of nonlinear difference equation has infinitely many homoclinic orbits. Our conditions on the nonlinear term are rather relaxed and we generalize some existing results in the literature.

引用

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页码：1 / 18

页数：18

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