一类具有无限时滞的中立型高维周期微分系统的周期解

Periodic Solutions of Neutral Higher Dimensional Periodic Differential System with Infinite Delay

研究具有无限时滞的中立型高维周期微分系统d/dt(x(t)+c(t)x(t-r))=A(t,x(t-r(t)))x(t)+∫t-∞C(t,s)x(s)ds+f(t,xt)+b(t)的T-周期解的存在性问题,利用线性系统的指数型二分性和Krasnoselskii不动点定理,建立了保证系统存在T-周期解的充分条件.

The existence of periodic solutions of neutral higher dimensional periodic differential system It with infinite delay d/dt（x（t）＋c（t）x（t-r））=A（t,x（t-r（t）））x（t）＋∫t-∞C（t,s）x（s）ds＋f（t,xt）＋b（t） are considered. Using the exponential dictomy and Krasnoselskii fixed point theorem, some sufficient condi tions to guarantee the existence of T- periodic solution for the system are established.