EXISTENCE OF PERIODIC SOLUTIONS OF SYSTEM OF DIFFERENCE EQUATIONS

被引：0
作者：
Wei Gengping~1 Shen Jianhua~(1
机构：
来源：
AppliedMathematicsAJournalofChineseUniversities(SeriesB) | 2006年 / 03期
关键词：
systems of difference equations; periodic solutions; existence;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
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;,A（n）=(a;（n）)N×N is an N×N matrix,with a-（ij）∈C（R,R） for i,j= 1,2,3,...,N,and f=（f;,f;,...,f;）;∈C（R×R;,R;）,satisfying A（t+ω）=A（t）,f（t+ω,z）=f（t,z） for any t∈R,（t,z）∈R×R;andωis a positive integer.Sufficient conditions for the existence ofω-periodic solutions to equations （*） are obtained.
引用
收藏
页码：320 / 326
页数：7
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