NON - AUTONOMOUS INHOMOGENEOUS BOUNDARY CAUCHY PROBLEMS AND RETARDED EQUATIONS

In this paper we prove the existence and the uniqueness of the clas-sical solution of non-autonomous inhomogeneous boundary Cauchy problems, and that this solution is given by a variation of constants formula. This result is applied to show the existence of solutions of a retarded equation

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Autores principales:	FILALI,M, MOUSSI,M
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2003
Materias:	Boundary Cauchy problem evolution families clas-sical solution well-posedness variation of constants formula retarded equation
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000200005
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spelling	oai:scielo:S0716-091720030002000052003-10-27NON - AUTONOMOUS INHOMOGENEOUS BOUNDARY CAUCHY PROBLEMS AND RETARDED EQUATIONSFILALI,MMOUSSI,M Boundary Cauchy problem evolution families clas-sical solution well-posedness variation of constants formula retarded equation In this paper we prove the existence and the uniqueness of the clas-sical solution of non-autonomous inhomogeneous boundary Cauchy problems, and that this solution is given by a variation of constants formula. This result is applied to show the existence of solutions of a retarded equationinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.22 n.2 20032003-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000200005en10.4067/S0716-09172003000200005
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Boundary Cauchy problem evolution families clas-sical solution well-posedness variation of constants formula retarded equation
spellingShingle	Boundary Cauchy problem evolution families clas-sical solution well-posedness variation of constants formula retarded equation FILALI,M MOUSSI,M NON - AUTONOMOUS INHOMOGENEOUS BOUNDARY CAUCHY PROBLEMS AND RETARDED EQUATIONS
description	In this paper we prove the existence and the uniqueness of the clas-sical solution of non-autonomous inhomogeneous boundary Cauchy problems, and that this solution is given by a variation of constants formula. This result is applied to show the existence of solutions of a retarded equation
author	FILALI,M MOUSSI,M
author_facet	FILALI,M MOUSSI,M
author_sort	FILALI,M
title	NON - AUTONOMOUS INHOMOGENEOUS BOUNDARY CAUCHY PROBLEMS AND RETARDED EQUATIONS
title_short	NON - AUTONOMOUS INHOMOGENEOUS BOUNDARY CAUCHY PROBLEMS AND RETARDED EQUATIONS
title_full	NON - AUTONOMOUS INHOMOGENEOUS BOUNDARY CAUCHY PROBLEMS AND RETARDED EQUATIONS
title_fullStr	NON - AUTONOMOUS INHOMOGENEOUS BOUNDARY CAUCHY PROBLEMS AND RETARDED EQUATIONS
title_full_unstemmed	NON - AUTONOMOUS INHOMOGENEOUS BOUNDARY CAUCHY PROBLEMS AND RETARDED EQUATIONS
title_sort	non - autonomous inhomogeneous boundary cauchy problems and retarded equations
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2003
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000200005
work_keys_str_mv	AT filalim nonautonomousinhomogeneousboundarycauchyproblemsandretardedequations AT moussim nonautonomousinhomogeneousboundarycauchyproblemsandretardedequations
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NON - AUTONOMOUS INHOMOGENEOUS BOUNDARY CAUCHY PROBLEMS AND RETARDED EQUATIONS

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