Homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity

被引：0

作者：

Zhan Zhou

Jian She Yu

机构：

[1] Guangzhou University,School of Mathematics and Information Science

[2] Guangzhou University,Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes

来源：

Acta Mathematica Sinica, English Series | 2013年 / 29卷

关键词：

Homoclinic solution; periodic nonlinear difference equation; superlinear nonlinearity; critical point theory; periodic approximation; 39A11;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we consider the existence of homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity. The classical Ambrosetti-Rabinowitz superlinear condition is improved by a general superlinear one. The proof is based on the critical point theory in combination with periodic approximations of solutions.

引用

页码：1809 / 1822

页数：13

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