无限时滞中立型积分微分方程的周期解的存在性

Periodic Solutions to Neutral Integro-differential Equations with Infinite Delay

对于具有无限时滞的中立型积分微分方程,本文以(Ch,||?h)为相空间,研究了方程周期解的存在性,综合利用D算子的性质及方程内向凸的定义建立了方程周期解存在准则.

In this paper, the existence of periodic solutions to neutral integro-differential equations with infinite delay is studied in the phase space(Ch, ||?h). A criterion of existence of periodic solutions to equations is established by the properties of operator D and the definition of inwardness to equations.