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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Proyecciones (Antofagasta) vol.21 no.2 Antofagasta Aug. 2002

http://dx.doi.org/10.4067/S0716-09172002000200004 

Proyecciones
Vol. 21, N o 2, pp. 155-174, August 2002.
Universidad Católica del Norte
Antofagasta - Chile

 

DIFFERENTIABILITY OF
SOLUTIONS OF LINEAR
FUNCTIONAL DIFFERENTIAL
EQUATIONS WITH INFINITE
DELAY

 

HERNÁN R. HENRÍQUEZ ¤
Universidad de Santiago, Chile

Abstract

In this note we establish a criterion to obtain classical solutions for a quasi-linear abstract retarded functional differential the infinitesimal generators of several strongly continuous semigroup of linear operators that arise in the theory of linear abstract retarded functional differential equations with infinite delay on a phase space defined axiomatically.

2000 Mathematics Subject Classification. 34K30, 34G10, 47D06.

Key Words and Phrases. Abstract Retarded Functional Dif-ferential Equations ; Semigroup of linear operator ; Differen-tiability of Solutions.

¤This work was supported by DICYT-USACH , Project 04-0133HM and FONDECYT, Project 1020259.

 

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Received : June, 2002.

HERNÁN R. HENRÍQUEZ
Departamento de Matemática
Universidad de Santiago de Chile
Casilla 307
Correo 2
Santiago
Chile
e-mail : hhenriqu@lauca.usach.cl

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