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
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.
引用
收藏
页码:1 / 18
页数:18
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