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http://dx.doi.org/10.14317/jami.2018.491

EXISTENCE OF PERIODIC SOLUTIONS WITH PRESCRIBED MINIMAL PERIOD FOR A FOURTH ORDER NONLINEAR DIFFERENCE SYSTEM  

LIU, XIA (College of Continuing Education and Open College, Guangdong University of Foreign Studies)
ZHOU, TAO (School of Economics and Managment, South China Normal University)
SHI, HAIPING (School of Mathematics and Statistics, Central South University)
Publication Information
Journal of applied mathematics & informatics / v.36, no.5_6, 2018 , pp. 491-504 More about this Journal
Abstract
In this article, we consider a fourth order nonlinear difference system. By making use of the critical point theory, we obtain some new existence theorems of at least one periodic solution with minimal period. Our main approach used in this article is the variational technique and the Saddle Point Theorem.
Keywords
Existence; minimal period; fourth order; nonlinear difference systems; critical point theory;
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