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

ZHANG Shen-gui

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

Chinese Quarterly Journal of Mathematics >

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

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

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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Abstract

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.

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

Cite this article

ZHANG Shen-gui . Multiple Periodic Solutions for a Class of Fourth-order Difference Systems[J]. Chinese Quarterly Journal of Mathematics, 2016 , 31(3) : 260 -268 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.03.004

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