EXISTENCE OF PERIODIC SOLUTIONS OF SYSTEM OF DIFFERENCE EQUATIONS

EXISTENCE OF PERIODIC SOLUTIONS OF SYSTEM OF DIFFERENCE EQUATIONS

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摘要 This paper studies the nonautonomous nonlinear system of difference equations △x（n） A（n）x（n）＋ f（n,x（n））, n∈Z ,（＊）where x（n）∈R^N,A（n） = （aij（n））N×N is an N×N matrix, with aij∈C（R,R） for i,j = 1,2,3 ,N, and f = （f1,f2,... ,fN）^T ∈C（R×R^N,R^N）, satisfying A（t＋） = A（t）, f（t＋ω,z） = f（t, z） for any t∈R, （t, z） ∈R× RN and ∈is a positive integer. Sufficient conditions for the existence of ω-periodic solutions to equations （＊） are obtained. This paper studies the nonautonomous nonlinear system of difference equations △x（n） A（n）x（n）＋ f（n,x（n））, n∈Z ,（＊）where x（n）∈R^N,A（n） = （aij（n））N×N is an N×N matrix, with aij∈C（R,R） for i,j = 1,2,3 ,N, and f = （f1,f2,... ,fN）^T ∈C（R×R^N,R^N）, satisfying A（t＋） = A（t）, f（t＋ω,z） = f（t, z） for any t∈R, （t, z） ∈R× RN and ∈is a positive integer. Sufficient conditions for the existence of ω-periodic solutions to equations （＊） are obtained.

作者 Wei Gengping Shen Jianhua

机构地区 Department of Mathematics Department of Mathematics

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2006年第3期320-326,共7页 高校应用数学学报（英文版）（B辑）

基金 Supported by the NNSF of China(10571050),the EYTP of China and the Science Foundation of the Education Committee of Hunan Province(04C457).

关键词 systems of difference equations periodic solutions existence. systems of difference equations, periodic solutions, existence.

分类号 O175 [理学—基础数学]

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Applied Mathematics(A Journal of Chinese Universities)

2006年第3期

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EXISTENCE OF PERIODIC SOLUTIONS OF SYSTEM OF DIFFERENCE EQUATIONS

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