Almost periodic solutions of partial differential equations with delay

Advances in Difference Equations

Hernn R Henrquez²  Alejandro Caicedo³  Claudio Cuevas⁵ 

[1] Departamento de Matematica, Centro de CiêDepartmento de MatemáDepartmento of Matemáncias Exatas e Tecnologia, Universidade Federal de Sergipe, Itabaiana, Brazil;tica, Universidad de Santiago-USACH, Santiago, Chile;tica, Universidade Federal of Pernambuco, Recife, Brazil

关键词: retarded functional differential equations in abstract spaces;    almost periodic functions;    semigroups of operators;    compact operators;    controllability of systems;    34K14;    34K30;    35R10;    47D06;    93B05;   

DOI  :  10.1186/s13662-015-0388-8

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY