Eduardo Hernandez M, Mauricio L. Pelicer, & Jose P. C. dos Santos
Abstract:
In this paper we study the existence of asymptotically almost periodic
and almost periodic solutions for the partial evolution equation
where
is the infinitesimal generator of an analytic semigroup on a
Banach space
,
is a closed linear operator, and
,
are
given functions.
Submitted February 20, 2004. Published April 21, 2004.
Math Subject Classifications: 34K14, 34K30.
Key Words: Almost periodic, asymptotically almost periodic,
semigroup of linear operators.
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Eduardo Hernandez M. Departamento de Matematica Instituto de Ciencias Matematicas de Sao Carlos Universidade de Sao Paulo, Caixa Postal 668 13560-970 Sao Carlos, SP. Brazil email: lalohm@icmc.sc.usp.br |
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Mauricio L. Pelicer Departamento de Matematica Instituto de Ciencias Matematicas de Sao Carlos Universidade de Sao Paulo, Caixa Postal 668 13560-970 Sao Carlos, SP. Brazil email: mpelicer@icmc.sc.usp.br |
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Jose P. C. dos Santos Departamento de Matematica Instituto de Ciencias Matematicas de Sao Carlos Universidade de Sao Paulo, Caixa Postal 668 13560-970 Sao Carlos, SP. Brazil email: zepaulo@icmc.sc.usp.br |
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