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PERIODIC SOLUTIONS TO A KIND OF NEUTRAL DIFFERENTIAL SYSTEM:VIA (h,k)-DICHOTOMY
Affiliation:Yongmei Lu, Ninghong Zhao , Rongting Wang, Wenxia Liu (Dept. of Math., Zhejiang Normal University, Jinhua 321004, Zhejiang)
Abstract: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.
Keywords:neutral differential equation  dichotomy  periodic solution
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