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28 Jan 2010
Periodic solutions of a 2nthorder nonlinear difference equation
 Zhan Zhou,
 JianShe Yu,
 YuMing Chen
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In this paper, a 2nthorder 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).
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 Title
 Periodic solutions of a 2nthorder nonlinear difference equation
 Journal

Science in China Series A: Mathematics
Volume 53, Issue 1 , pp 4150
 Cover Date
 20100101
 DOI
 10.1007/s1142500901677
 Print ISSN
 16747283
 Online ISSN
 18691862
 Publisher
 SP Science in China Press
 Additional Links
 Topics
 Keywords

 periodic solution
 nonlinear difference equation
 critical point theory
 39A11
 Authors

 Zhan Zhou ^{(1)}
 JianShe Yu ^{(1)}
 YuMing Chen ^{(2)}
 Author Affiliations

 1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China
 2. Department of Mathematics, Wilfrid Laurier University, Waterloo, N2L 3C5, Canada