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

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
Materias:
Retarded functional differential equations
abstractCauchy problem
semigroup of bounded linear operators
regularity of solutions
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000100005
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spelling oai:scielo:S0716-091720020001000052002-11-29REGULARITY OF SOLUTIONS OF PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAYHERNÁNDEZ,EDUARDO Retarded functional differential equations abstractCauchy problem semigroup of bounded linear operators regularity of solutions 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 functionsinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.21 n.1 20022002-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000100005en10.4067/S0716-09172002000100005
institution Scielo Chile
collection Scielo Chile
language English
topic Retarded functional differential equations
abstractCauchy problem
semigroup of bounded linear operators
regularity of solutions
spellingShingle Retarded functional differential equations
abstractCauchy problem
semigroup of bounded linear operators
regularity of solutions
HERNÁNDEZ,EDUARDO
REGULARITY OF SOLUTIONS OF PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY
description 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
author HERNÁNDEZ,EDUARDO
author_facet HERNÁNDEZ,EDUARDO
author_sort HERNÁNDEZ,EDUARDO
title REGULARITY OF SOLUTIONS OF PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY
title_short REGULARITY OF SOLUTIONS OF PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY
title_full REGULARITY OF SOLUTIONS OF PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY
title_fullStr REGULARITY OF SOLUTIONS OF PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY
title_full_unstemmed REGULARITY OF SOLUTIONS OF PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY
title_sort regularity of solutions of partial neutral functional differential equations with unbounded delay
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2002
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000100005
work_keys_str_mv AT hernandezeduardo regularityofsolutionsofpartialneutralfunctionaldifferentialequationswithunboundeddelay
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