Science in China Series A: Mathematics

, Volume 53, Issue 1, pp 41–50

Periodic solutions of a 2nth-order nonlinear difference equation

Authors

    • School of Mathematics and Information ScienceGuangzhou University
  • JianShe Yu
    • School of Mathematics and Information ScienceGuangzhou University
  • YuMing Chen
    • Department of MathematicsWilfrid Laurier University
Articles

DOI: 10.1007/s11425-009-0167-7

Cite this article as:
Zhou, Z., Yu, J. & Chen, Y. Sci. China Ser. A-Math. (2010) 53: 41. doi:10.1007/s11425-009-0167-7

Abstract

In this paper, a 2nth-order nonlinear difference equation is considered. Using the critical point theory, we establish various sets of sufficient conditions of the nonexistence and existence of periodic solutions. Results obtained complement or improve the existing ones.

Keywords

periodic solutionnonlinear difference equationcritical point theory

MSC(2000)

39A11
Download to read the full article text

Copyright information

© Science in China Press and Springer Berlin Heidelberg 2010