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Periodic solutions of a 2nth-order nonlinear difference equation

查看全文 作  者:ZHOU Zhan 1, YU JianShe 1 & CHEN YuMing 21 School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China;2 Department of Mathematics, Wilfrid Laurier University, Waterloo N2L 3C5, Canada 高影响力作者 出  处:《Science China Mathematics》索引2010年第53卷第1期,共10页高影响力期刊 基  金:supported by Specialized Fund for the Doctoral Program of Higher Eduction (Grant No.20071078001);National Natural Science Foundation of China (Grant No.10625104);Natural Science and Engineering Reserach Council of Canada (NSERC) 摘  要:In this paper, a 2 nth-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. 关 键 词:PERIODIC solution nonlinear DIFFERENCE EQUATION CRITICAL POINT theory
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