高维时滞离散周期系统解的性态  

Existence and uniqueness of solutions to higher dimensional difference periodic system with delay

作　　者：杨秀香[1] 

机构地区：[1]渭南师范学院数学系,陕西渭南714000

出　　处：《吉林化工学院学报》2002年第2期67-69,共3页Journal of Jilin Institute of Chemical Technology

基　　金：陕西省教委自然科学专项基金资助项目 (99JK112 )

摘　　要：考虑了具有时滞的高维离散周期系统x(τ+1) =A(τ ,x(τ) )x(τ) +f(τ ,x(τ-r) )其中 ,(τ ,x) ∈I×Rn,A(τ ,x)是n×n连续方阵 ,f(τ ,x)是n维连续向量 ,且A(τ+N ,x) =A(τ ,x) ,f(τ+N ,x) =f(τ ,x) ,N >0 ,r是滞量 ,应用离散系统的线性理论 ,不动点理论 ,建立了保证其N周期解的存在性 ,唯一性的充分条件 ,所得结果推广了文 [1,2 ]的结果 .Higher dimensional difference periodic systems with delay of the form x(τ+1)=A(τ,x(τ))x(τ)+f(τ,x(τ-r)) are studied, where the n×n matrix f(τ,x)and the n vector are continuous in (τ,x)∈I×R n and A(τ+N,x)=A(τ,x),f(τ+N,x)=f(τ,x). By applying the linear theorem and fixed point theorem of difference system, some sufficient conditions to guarantee the existence and uniqueness of N periodic solution for the system are obtained, and the main results in documents are extended.

关 键 词：离散周期系统 时滞差分系统 周期时滞 周期解 

分 类 号：O158[理学—数学]