Existence of infinitely many homoclinic orbits for fourth-order difference systems containing both advance and retardation

被引：56
|
作者：
Chen, Peng [1 ]
Tang, X. H. [1 ]
机构：
[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 09期
关键词：
Fourth-order difference system; Homoclinic solutions; Symmetric mountain pass theorem; 2ND-ORDER HAMILTONIAN-SYSTEMS; SUBHARMONIC SOLUTIONS; PERIODIC-SOLUTIONS; EQUATIONS;
D O I：
10.1016/j.amc.2010.09.067
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 the fourth-order difference system Delta(4)u(n - 2) + q(n)u(n) = f(n, u(n + 1),u(n), u(n - 1)) have infinitely many homoclinic orbits, where n is an element of Z; u is an element of R-N; q : Z -> R-NxN and f : Z x R-3N -> R are no periodic in n. (C) 2010 Elsevier Inc. All rights reserved.
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页码：4408 / 4415
页数：8
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