Resumen

FILALI, M  y  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.  http://dx.doi.org/10.4067/S0716-09172003000200005.

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

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