Infinitely many homoclinic solutions for a class of nonlinear difference equations

被引：0
|
作者：
Chen, Peng [1 ]
Wang, Zhengmei [2 ]
机构：
[1] China Three Gorges Univ, Sch Sci, Yichang 443002, Hubei, Peoples R China
[2] Wuhan Univ Technol, Sch Transport, Wuhan 438000, Hubei, Peoples R China
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2012年 / 47期
关键词：
Homoclinic solutions; Difference equation; Symmetric Mountain Pass Theorem; PERIODIC-SOLUTIONS; SUBHARMONIC SOLUTIONS; HAMILTONIAN-SYSTEMS; POSITIVE SOLUTIONS; 2ND-ORDER; EXISTENCE; ORBITS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the Symmetric Mountain Pass Theorem, we establish some existence criteria to guarantee a class of nonlinear difference equation has infinitely many homoclinic orbits. Our conditions on the nonlinear term are rather relaxed and we generalize some existing results in the literature.
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页码：1 / 18
页数：18
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