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;
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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.
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页码：1809 / 1822
页数：13
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