文章基本信息

标题：Homoclinic solutions for second order discrete p -Laplacian systems
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作者：Xiaofei He ; Peng Chen
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2011
卷号：2011
期号：1
页码：57
DOI：10.1186/1687-1847-2011-57
语种：English
出版社：Hindawi Publishing Corporation
摘要：Some new existence theorems for homoclinic solutions are obtained for a class of second-order discrete p-Laplacian systems by critical point theory, a homoclinic orbit is obtained as a limit of 2kT-periodic solutions of a certain sequence of the second-order difference systems. A completely new and effective way is provided for dealing with the existence of solutions for discrete p-Laplacian systems, which is different from the previous study and generalize the results. 2010 Mathematics Subject Classification: 34C37; 58E05; 70H05.
关键词：homoclinic solutions ; discrete variational methods ; p -Laplacian systems