Homoclinic solutions for second order discrete p-Laplacian systems

被引：9
|
作者：
He, Xiaofei [1 ,2 ]
Chen, Peng [2 ,3 ]
机构：
[1] Jishou Univ, Dept Math & Comp Sci, Jishou 416000, Hunan, Peoples R China
[2] Cent S Univ, Sch Math Sci & Comp, Changsha 410083, Hunan, Peoples R China
[3] Huanggang Normal Univ, Coll Math & Comp Sci, Huanggang 438000, Hubei, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2011年
关键词：
homoclinic solutions; discrete variational methods; p-Laplacian systems; SUBHARMONIC SOLUTIONS; PERIODIC-SOLUTIONS; EXISTENCE; ORBITS;
D O I：
10.1186/1687-1847-2011-57
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页码：1 / 16
页数：16
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