一类四阶差分系统的多重周期解

张申贵

doi:10.13371/j.cnki.chin.q.j.m.2016.03.004

数学季刊 >

2016 , Vol. 31 >Issue 3: 260 - 268

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.03.004

一类四阶差分系统的多重周期解

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College of Mathematics and Computer Science,Northwest University for Nationalities

ZHANG Shen-gui(1980-), male, native of Lanzhou, Gansu, an associate professor of Northwest University for Nationalities, M.S.D., engages in nonlinear functional analysis.

收稿日期: 2015-03-08

网络出版日期: 2020-11-04

基金资助

Supported by the National Natural Science Foundation of China(31260098)；

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Multiple Periodic Solutions for a Class of Fourth-order Difference Systems

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College of Mathematics and Computer Science,Northwest University for Nationalities

ZHANG Shen-gui(1980-), male, native of Lanzhou, Gansu, an associate professor of Northwest University for Nationalities, M.S.D., engages in nonlinear functional analysis.

Received date: 2015-03-08

Online published: 2020-11-04

Supported by

Supported by the National Natural Science Foundation of China(31260098)；

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摘要

By using critical point theory,we study periodic solutions for a class of fourthorder difference systems with partially periodic potential and linear nonlinearity.Some sufficient conditions for the existence of multiplicity of periodic solutions are obtained via generalized saddle point theorem.

关键词： periodic solutions; fourth-order difference system; critical point

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张申贵 . 一类四阶差分系统的多重周期解[J]. 数学季刊, 2016 , 31(3) : 260 -268 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.03.004

Abstract

Key words： periodic solutions; fourth-order difference system; critical point

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