NON - AUTONOMOUS INHOMOGENEOUS BOUNDARY CAUCHY PROBLEMS AND RETARDED EQUATIONS

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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Detalles Bibliográficos
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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Descripción
Sumario: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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