Existence of periodic solutions for second-order nonlinear difference equations

被引：4
|
作者：
Ren, Zhiguo [1 ]
Li, Jie [2 ]
Shi, Haiping [3 ]
机构：
[1] Jieyang Vocat & Tech Coll, Dept Informat Engn, Jieyang 522000, Peoples R China
[2] Zhongshan Torch Coll, Qual Control Off, Zhongshan 528436, Peoples R China
[3] Guangdong Construct Vocat Technol Inst, Modem Business & Management Dept, Guangzhou 510440, Guangdong, Peoples R China
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Existence; periodic solutions; second-order; nonlinear difference equations; discrete variational theory; BOUNDARY-VALUE-PROBLEMS; SUBHARMONIC SOLUTIONS;
D O I：
10.22436/jnsa.009.04.09
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the critical point method, the existence of periodic solutions for second-order nonlinear difference equations is obtained. The proof is based on the Saddle Point Theorem in combination with variational technique. The problem is to solve the existence of periodic solutions of second-order nonlinear difference equations. One of our results obtained complements the result in the literature. (C) 2016 All rights reserved.
引用
收藏
页码：1505 / 1514
页数：10
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