Almost periodic solutions of partial differential equations with delay

被引:0
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作者
Hernán R Henríquez
Claudio Cuevas
Alejandro Caicedo
机构
[1] Universidad de Santiago-USACH,Departmento de Matemática
[2] Universidade Federal of Pernambuco,Departmento of Matemática
[3] Universidade Federal de Sergipe,Departamento de Matematica, Centro de Ciências Exatas e Tecnologia
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;
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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.
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