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Proyecciones (Antofagasta)
versión impresa ISSN 0716-0917
Proyecciones (Antofagasta) v.22 n.2 Antofagasta ago. 2003
http://dx.doi.org/10.4067/S0716-09172003000200005
Proyecciones
Vol. 22, N o 2, pp. 145-159, August 2003.
Universidad Católica del Norte
Antofagasta - Chile
NON - AUTONOMOUS INHOMOGENEOUS
BOUNDARY CAUCHY PROBLEMS AND
RETARDED EQUATIONS
M. FILALI AND M. MOUSSI
Universidad de Mohamed I, MOROCCO
| Abstract |
| 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. subjclass : 34G10; 47D06 keywords : Boundary Cauchy problem, evolution families, clas-sical solution, well-posedness, variation of constants formula, retarded equation. |
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M. Filali
Department of Mathematics
Faculty of Sciences
University Mohamed I
P. O. Box 524
60000 Oujda
Morocco
filali@sciences.univ-oujda.ac.ma
and
M. Moussi
Department of Mathematics
Faculty of Sciences
University Mohamed I
P. O. Box 524
60000 Oujda
Morocco
moussi@sciences.univ-oujda.ac.ma
