2014Journal of Hefei UniversityRequires access

Existence and Exponential Stability of Almost Periodic Solutions for Neutral Functional Differential Equations

Jingfen Wang

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Abstract

The purpose of this paper is to study the question of almost periodic solutions of the neutral functional differential equations,to establish sufficient conditions for the existence and uniqueness of the almost periodic solutions of the neutral functional differential equations applying the fixed point theory,and to consider the global exponential stability for the almost periodic solutions. It popularize the result in other reference.

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What this paper is about

The purpose of this paper is to study the question of almost periodic solutions of the neutral functional differential equations,to establish sufficient conditions for the existence and uniqueness of the almost periodic solutions of the neutral functional differential equations applying the fixed point theory,and to consider the global exponential stability for the almost periodic solutions. It popularize the result in other reference.

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Available abstract

The purpose of this paper is to study the question of almost periodic solutions of the neutral functional differential equations,to establish sufficient conditions for the existence and uniqueness of the almost periodic solutions of the neutral functional differential equations applying the fixed point theory,and to consider the global exponential stability for the almost periodic solutions. It popularize the result in other reference.

Key concepts: Uniqueness, Mathematics, Exponential stability, Functional differential equation, Exponential dichotomy, Differential equation, Mathematical analysis, Exponential function

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