| EXISTENCE OF PERIODIC SOLUTIONS OF SYSTEM OF DIFFERENCE EQUATIONS |
| |
| 引用本文： | Wei Gengping~1 Shen Jianhua~(1,2) 1 Department of Mathematics,Huaihua College,Hunan 418008,China. 2 Department of Mathematics,Hunan Normal University,Hunan 410081,China. EXISTENCE OF PERIODIC SOLUTIONS OF SYSTEM OF DIFFERENCE EQUATIONS[J]. 高校应用数学学报(英文版), 2006, 21(3): 320-326. DOI: 10.1007/s11766-003-0008-3 |
| |
| 作者姓名： | Wei Gengping~1 Shen Jianhua~(1 2) 1 Department of Mathematics Huaihua College Hunan 418008 China. 2 Department of Mathematics Hunan Normal University Hunan 410081 China |
| |
| 作者单位： | 1，2 |
| |
| 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）. |
| |
| 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.
|
| 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 |
| |
| Wei Genping,Shen Jianhua. Existence of periodic solutions of system of difference equations[J]. Applied Mathematics A Journal of Chinese Universities, 2006, 21(3): 320-326. DOI: 10.1007/s11766-003-0008-3 |
| |
| Authors: | Wei Genping Shen Jianhua |
| |
| Affiliation: | (1) Department of Mathematics, Huaihua College, 418008 Hunan, China;(2) Department of Mathematics, Human Normal University, 410081 Hunan, China |
| |
| 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). |
| |
| Keywords: | systems of difference equations periodic solutions existence. |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
|
