Homoclinic solutions of 2nth-order difference equations containing both advance and retardation

被引：5
|
作者：
Long, Yuhua [1 ,2 ]
Zhang, Yuanbiao [3 ]
Shi, Haiping [4 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
[2] Guangzhou Univ, Guangdong Higher Educ Inst, Key Lab Math & Interdisciplinary Sci, Guangzhou 510006, Guangdong, Peoples R China
[3] Jinan Univ, Packaging Engn Inst, Zhuhai 519070, Peoples R China
[4] Guangdong Construct Polytech, Modern Business & Management Dept, Guangzhou 510440, Guangdong, Peoples R China
来源：
OPEN MATHEMATICS | 2016年 / 14卷
基金：
中国国家自然科学基金;
关键词：
Homoclinic solutions; 2nth-order; Nonlinear difference equations; Discrete variational theory; SUBHARMONIC SOLUTIONS; HAMILTONIAN-SYSTEMS; PERIODIC-SOLUTIONS; ORBITS; EXISTENCE;
D O I：
10.1515/math-2016-0046
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By using the critical point method, some new criteria are obtained for the existence and multiplicity of homoclinic solutions to a 2nth-order nonlinear difference equation. The proof is based on the Mountain Pass Lemma in combination with periodic approximations. Our results extend and improve some known ones.
引用
收藏
页码：520 / 530
页数：11
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