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Proyecciones (Antofagasta)

Print version ISSN 0716-0917


FILALI, M  and  MOUSSI, M. NON - AUTONOMOUS INHOMOGENEOUS BOUNDARY CAUCHY PROBLEMS AND RETARDED EQUATIONS. Proyecciones (Antofagasta) [online]. 2003, vol.22, n.2, pp.145-159. ISSN 0716-0917.

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

Keywords : Boundary Cauchy problem; evolution families; clas-sical solution; well-posedness; variation of constants formula; retarded equation.

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