Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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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)
  • Received : 2018.05.11
  • Accepted : 2018.08.13
  • Published : 2018.09.30
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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.

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References

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