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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