Almost periodic solutions of partial differential equations with delay

被引：5

作者：

Henriquez, Hernan R. ^{[1
]}

Cuevas, Claudio ^{[2
]}

Caicedo, Alejandro ^{[3
]}

机构：

[1] Univ Santiago USACH, Dept Matemat, Santiago, Chile

[2] Univ Fed Pernambuco, Dept Matemat, BR-50540740 Recife, PE, Brazil

[3] Univ Fed Sergipe, Ctr Ciencias Exatas & Tecnol, Dept Matemat, BR-49500000 Itabaiana, SE, Brazil

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2015年

关键词：

retarded functional differential equations in abstract spaces; almost periodic functions; semigroups of operators; compact operators; controllability of systems; PARABOLIC EQUATIONS; AUTOMORPHIC SOLUTIONS; INFINITE DELAY; BANACH-SPACE; STABILITY; PSEUDO; STABILIZABILITY; SYSTEMS; TERMS; EXISTENCE;

D O I：

10.1186/s13662-015-0388-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of almost periodic solutions for linear retarded functional differential equations with finite delay and values in a Banach space. We relate the existence of almost periodic solutions with the stabilization of distributed control systems. We apply our results to transport models and to the wave equation.

引用

页数：15

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