| EXISTENCE OF PERIODIC SOLUTIONS OF SYSTEM OF DIFFERENCE EQUATIONS |
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| 作者姓名： | Wei Gengping~ Shen Jianhua~ |
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| 作者单位： | 1，2 |
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| 基金项目： | the NNSF of China（10571050）, the EYTP of China and the Science Foundation of the Education Committee of Hunan Province（04C457）. |
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| 摘 要： | This paper studies the nonautonomous nonlinear system of difference equationsΔx(n)=A(n)x(n)+f(n,x(n)),n∈Z,(*) where x(n)∈R~N,A(n)=(a_(ij)(n))N×N is an N×N matrix,with a-(ij)∈C(R,R) for i,j= 1,2,3,...,N,and f=(f_1,f_2,...,f_N)~T∈C(R×R~N,R~N),satisfying A(t+ω)=A(t),f(t+ω,z)=f(t,z) for any t∈R,(t,z)∈R×R~N andωis a positive integer.Sufficient conditions for the existence ofω-periodic solutions to equations (*) are obtained.
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| 关 键 词： | 系统差分方程 周期解 存在性 充分条件 |
| 收稿时间： | 2005-08-28 |
Existence of periodic solutions of system of difference equations |
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| Wei Gengping Shen Jianhua.EXISTENCE OF PERIODIC SOLUTIONS OF SYSTEM OF DIFFERENCE EQUATIONS[J].Applied Mathematics A Journal of Chinese Universities,2006,21(3):320-326. |
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| Authors: | Wei Genping Shen Jianhua |
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| Institution: | (1) Department of Mathematics, Huaihua College, 418008 Hunan, China;(2) Department of Mathematics, Human Normal University, 410081 Hunan, China |
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| Abstract: | This paper studies the nonautonomous nonlinear system of difference equations {fx320-1} where {ie320-1} is an N×N matrix, with {ie320-2} for i, j=1,2,3,…,N, and {ie320-3}, satisfying A(t+ω)=A(t), f(t+ω,z)=f(t,z) for any {ie320-4} and ω is a positive integer. Sufficient conditions for the existence of ω-periodic solutions to equations
(*) are obtained.
Supported by the NNSF of China(10571050), the EYTP of China and the Science Foundation of the Education Committee of Human
Province(04C457). |
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| Keywords: | systems of difference equations periodic solutions existence |
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