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Periodic solutions of a 2nth-order nonlinear difference equation
Authors:ZHOU Zhan  YU JianShe & CHEN YuMing School of Mathematics  Information Science  Guangzhou University  Guangzhou  China
Institution:ZHOU Zhan 1,YU JianShe 1 & CHEN YuMing 21 School of Mathematics , Information Science,Guangzhou University,Guangzhou 510006,China,2 Department of Mathematics,Wilfrid Laurier University,Waterloo N2L 3C5,Canada
Abstract: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.
Keywords:periodic solution  nonlinear difference equation  critical point theory  
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