On the initial value problem of functional differential equations

Amel Bouraada; Mohamed Helal

Amel Bouraada cience and Technology Faculty, Mustapha Stambouli University of Mascara,\\ B.P. 763, 29000, Mascara, Algeria\\
Mohamed Helal Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abb\`es,\\ B.P. 89, 22000, Sidi Bel-Abb\`es, Algeria

Abstract

In this paper we provide sufficient conditions for the existence as well as the uniqueness of solution of general nonlinear functional differential equations. Our results will be obtained using suitable fixed point theorems. We give also some remarks about uniqueness theorem due to Dhage.