具有连续变量差分方程周期解的存在性  

Existence of Periodic Solution Difference Equation with Continuous Varity

作　　者：韩忠月[1] 张景晓[1] 

机构地区：[1]德州学院数学系,山东德州253023

出　　处：《聊城大学学报（自然科学版）》2004年第2期32-33,36,共3页Journal of Liaocheng University:Natural Science Edition

基　　金：国家自然科学基金(10071043)

摘　　要：运用Krasnoselskii不动点定理讨论了差分方程△_τx′(t)=2a(t)x(t)+p(t)x′(t)-a(t)x(t+τ)/(1+p(t))+f(t,x(t),x(t+τ))周期解的存在性。其中a(t),P(t)皆是以T为周期的连续函数。We use Krasnoselskii's fixed point theorem to show that the equation with continuous variable △_rx′(t)=2a(t)x(t)+p′(t)x(t)-a(t)x(t+τ)/(1+p(t))+f(t,x(t),sc(t+τ)) has a periodic solution, where a(t) and p(t) are T-periodic continuous fvnctions.

关 键 词：连续变量差分方程 周期解 存在性 KRASNOSELSKII不动点定理 全连续映象 

分 类 号：O175.7[理学—数学]