The existence of almost periodic solutions of some delay differential equations

A set of sufficient conditions is derived for the existence of almost periodic solutions of some delay differential equations by using exponential dichotomy and fixed-point theorem. This criterion provides a method for the existence analysis of almost periodic solution of time delay systems.

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Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 47; no. 8; pp. 1225 - 1231
Main Authors Feng, Chunhua, Wang, Peiguang
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.04.2004
Subjects
Almost periodic solution
Delay differential equation
Existence
Exponential dichotomy
Almost periodic solution
Exponential dichotomy
Delay differential equation
Existence
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Summary:A set of sufficient conditions is derived for the existence of almost periodic solutions of some delay differential equations by using exponential dichotomy and fixed-point theorem. This criterion provides a method for the existence analysis of almost periodic solution of time delay systems.
ISSN:0898-1221
1873-7668
DOI:10.1016/S0898-1221(04)90116-2