[1]彭刚,崔艳,石海平.具有超前和滞后的2n阶泛函差分方程的周期解[J].南京师范大学学报(自然科学版),2014,37(02):39.
 Peng Gang,Cui Yan,Shi Haiping.Periodic Solutions of a 2nthOrder Functional Difference Equation Containing Both Advance and Retardation[J].Journal of Nanjing Normal University(Natural Science Edition),2014,37(02):39.
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具有超前和滞后的2n阶泛函差分方程的周期解()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第37卷
期数:
2014年02期
页码:
39
栏目:
数学
出版日期:
2014-06-30

文章信息/Info

Title:
Periodic Solutions of a 2nthOrder Functional Difference Equation Containing Both Advance and Retardation
作者:
彭刚1崔艳1石海平2
(1.广东岭南职业技术学院博雅教育学院,广东 广州 510663) (2.广东建设职业技术学院现代商务与管理系,广东 广州 510450)
Author(s):
Peng Gang1Cui Yan1Shi Haiping2
(1.School of Humanities and Social Sciences,Guangdong Lingnan Institute of Technology,Guangzhou 510663,China) (2.Modern Business and Management Department,Guangdong Construction Vocational Technology Institute,Guangzhou 510450,China)
关键词:
泛函差分方程周期解环绕定理离散变分理论
Keywords:
functional difference equationperiodic solutionlinking theoremdiscrete variational theory
分类号:
O175.1
文献标志码:
A
摘要:
研究具有超前和滞后的2n阶泛函差分方程周期解的存在性.将差分方程周期解的存在性问题转化成相应的泛函临界点的存在性问题.利用临界点理论,获得了此方程至少存在2个非平凡周期解的充分条件,推广并改进了已有文献的一些结论.
Abstract:
The existence of periodic solutions to a 2nthorder functional difference equation containing both advance and retardation is studied.By using the critical point theory and transferring the existence of the periodic solutions of the equations into the existence of critical points of some functional,a sufficient condition for the existence of at least two nontrivial periodic solutions is obtained.Our result extends and improves some conclusions in the existing literatures.

参考文献/References:

[1]郑祖庥.泛函微分方程理论[M].合肥:安徽教育出版社,1994.
[2]Agarwal R P.Difference Equations and Inequalities:Theory,Methods and Applications[M].New York:Marcel Dekker,1992.
[3]田淑环,王文丽.具有滞后、超前项的泛函差分方程的单调迭代技术[J].保定学院学报,2009,22(4):17-19.
[4]Yu Jianshe,Shi Haiping,Guo Zhiming.Homoclinic orbits for nonlinear difference equations containing both advance and retardation[J].J Math Anal Appl,2009,352(2):799-806.
[5]Chen Peng,Tang Xianhua.Existence of many homoclinic orbits for fourthorder difference systems containing both advance and retardation[J].Comput Math Appl,2011,217(9):4 408-4 415.
[6]Cai Xiaochun,Yu Jianshe,Guo Zhiming.Existence of periodic solutions for fourthorder difference equations[J].Comput Math Appl,2005,50(1/2):49-55.
[7]Cai Xiaochun,Yu Jianshe.Existence of periodic solutions for a 2nthorder nonlinear difference equation[J].J Math Anal Appl,2007,329(2):870-878.
[8]Rabinowitz P H.Minimax Methods in Critical Point Theory with Applications to Differential Equations[M].New York:Amer Math Soc,1986.

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备注/Memo

备注/Memo:
收稿日期:2013-06-03.
基金项目:国家自然科学基金(11171078)、高等学校博士学科点专项科研基金(20114410110002)、广东省教育科学“十一五”规划课题(2010tjk074)、广东省自然科学基金(S2013010014460).
通讯联系人:石海平,博士,副教授,研究方向:离散动力系统理论及应用.E-mail:shp7971@163.com
更新日期/Last Update: 2014-06-30