Homoclinic Solutions for a Class of Nonlinear Difference Equations

被引：2

作者：

Mai, Ali ^{[1
,2
,3
]}

Zhou, Zhan ^{[1
,2
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[2] Guangzhou Univ, Guangdong Higher Educ Inst, Key Lab Math & Interdisciplinary Sci, Guangzhou 510006, Guangdong, Peoples R China

[3] Yuncheng Univ, Dept Appl Math, Yuncheng 044000, Shanxi, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2014年

基金：

中国国家自然科学基金;

关键词：

GAP SOLITONS; SCHRODINGER-EQUATIONS; DISCRETE; EXISTENCE;

D O I：

10.1155/2014/749678

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of homoclinic solutions of a class of nonlinear difference equations with superlinear nonlinearity by using the generalized Nehari manifold approach. For the case where the nonlinearity is odd, we obtain infinitely many homoclinic solutions of the equations. Recent results in the literature are generalized and improved.

引用

页数：8

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