2006•Journal of Anhui UniversityRequires access

The periodic solutions for a class of neutral integro-differential equations with infinite delays

Jiaming Zhu

Abstract

In this paper,we considered the following integral differential systems with infinite delay,x′(t)=A(t)x(t+∫t-∞C(t,s)x(s)ds+∫t-∞D(t,s)x′(s)ds+b(t)By using exponential dichonomy and the fixed point theorem,the sufficient conditions for the existence of periodic solutions were obtained.We also improved the conclusion before.

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Key concepts: Mathematics, Class (philosophy), Fixed-point theorem, Differential equation, Exponential dichotomy, Exponential function, Mathematical analysis, Differential (mechanical device)