2007•College MathematicsRequires access

The Periodic Solutions for a Class of Neutral Integro-differential Equations with Infinite Delays

Xiao Chang

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Abstract

Using the exponential dichonomyand fixed point theorem,the existence and stability of periodic solutions for a class of integral differential systems with infinite delayx′(t)=A(t)x(t)+∫t-∞C(t,s)x(s)ds+∫t-∞D(t,s)x′(s)ds+b(t)are discussed.Some effective results are obtained.

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What this paper is about

Using the exponential dichonomyand fixed point theorem,the existence and stability of periodic solutions for a class of integral differential systems with infinite delayx′(t)=A(t)x(t)+∫t-∞C(t,s)x(s)ds+∫t-∞D(t,s)x′(s)ds+b(t)are discussed.Some effective results are obtained.

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Available abstract

Using the exponential dichonomyand fixed point theorem,the existence and stability of periodic solutions for a class of integral differential systems with infinite delayx′(t)=A(t)x(t)+∫t-∞C(t,s)x(s)ds+∫t-∞D(t,s)x′(s)ds+b(t)are discussed.Some effective results are obtained.

Key concepts: Mathematics, Class (philosophy), Mathematical analysis, Differential equation, Differential (mechanical device), Applied mathematics, Pure mathematics, Engineering

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