Non - autonomous inhomogeneous boundary cauchy problems and retarded equations

Authors

  • M. Filali University Mohamed.
  • M. Moussi University Mohamed.

DOI:

https://doi.org/10.4067/S0716-09172003000200005

Keywords:

Boundary Cauchy problem, Evolution families, Classical solution, Well-posedness, Variation of constants formula, Retarded equation.

Abstract

In this paper we prove the existence and the uniqueness of the classical 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 Biographies

M. Filali, University Mohamed.

Department of Mathematics, Faculty of Sciences.

M. Moussi, University Mohamed.

Department of Mathematics, Faculty of Sciences.

References

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Published

2017-04-24

How to Cite

[1]
M. Filali and M. Moussi, “Non - autonomous inhomogeneous boundary cauchy problems and retarded equations”, Proyecciones (Antofagasta, On line), vol. 22, no. 2, pp. 145-159, Apr. 2017.

Issue

Section

Artículos