REGULARITY OF SOLUTIONS OF PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY

We prove the existence of regular solutions for a class of quasi-linear partial neutral functional differential equations with unbounded delay that can be described as the abstract retarded functional differential equation <IMG SRC="http:/fbpe/img/proy/v21n1/for07.jpg" WIDTH=522 HEIGHT=...

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Autor principal: HERNÁNDEZ,EDUARDO
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2002
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000100005
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Sumario:We prove the existence of regular solutions for a class of quasi-linear partial neutral functional differential equations with unbounded delay that can be described as the abstract retarded functional differential equation <IMG SRC="http:/fbpe/img/proy/v21n1/for07.jpg" WIDTH=522 HEIGHT=33>where A is the infinitesimal generator of a strongly continuous semigroup of bounded linear operators on a Banachspace X and F, G are appropriated functions