, Volume 53, Issue 1, pp 41-50
Date: 28 Jan 2010

Periodic solutions of a 2nth-order nonlinear difference equation

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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.

This work was partially supported by Specialized Fund for the Doctoral Program of Higher Eduction (Grant No. 20071078001), National Natural Science Foundation of China (Grant No. 10625104) and Natural Science and Engineering Reserach Council of Canada (NSERC).