文章基本信息

标题：Existence of Homoclinic Solutions for a Class of Nonlinear Difference Equations
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作者：Peng Chen ; XH Tang
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2010
卷号：2010
期号：1
页码：470375
DOI：10.1155/2010/470375
语种：English
出版社：Hindawi Publishing Corporation
摘要：By using the critical point theory, we establish some existence criteria to guarantee that the nonlinear difference equation has at least one homoclinic solution, where , and is non periodic in . Our conditions on the nonlinear term are rather relaxed, and we generalize some existing results in the literature.
关键词：Periodic Solution ; Difference Equation ; Homoclinic Orbit ; Real Banach Space ; Critical Point Theory