PERIODIC SOLUTIONS TO A KIND OF NEUTRAL DIFFERENTIAL SYSTEM:VIA (h,k)-DICHOTOMY  

作　　者：Yongmei Lu, Ninghong Zhao , Rongting Wang, Wenxia Liu (Dept. of Math., Zhejiang Normal University, Jinhua 321004, Zhejiang) 

出　　处：《Annals of Differential Equations》2012年第2期186-193,共8页微分方程年刊（英文版）

基　　金：supported by the Natural Science Foundation of Zhejiang Province under Grant(No. Y6100029 and Y6110195)

摘　　要：In this paper, based on the theory of (h, k)-Dichotomy of linear system and Kras-noselskii’s fixed point theorem, we study the existence of periodic solutions to a neutral differential equation. Some new sufficient conditions are obtained to guarantee the existence and uniqueness of T-periodic solution to the equation.In this paper, based on the theory of (h, k)-Dichotomy of linear system and Kras-noselskii’s fixed point theorem, we study the existence of periodic solutions to a neutral differential equation. Some new sufficient conditions are obtained to guarantee the existence and uniqueness of T-periodic solution to the equation.

关 键 词：neutral differential equation DICHOTOMY periodic solution 

分 类 号：O241.8[理学—计算数学]