Random semilinear system of differential equations with state-dependent delay

Abstract

In this paper we prove the existence of mild solutions for a rst-order semilin-

ear dierential with state-dependent delay. The existence results are established

by means of a new version of Perov's xed point principles combined with a

technique based on vector-valued metrics and convergent to zero matrices.

Keywords

• random variable,state-dependent delay,fixed point theorem,retarded functional differential equations

Kaynakça

1. reference 1 : hakem ali [e-mail] full professor university of sidi bel abbes departement of computer sciences
2. refernce 2: abes benaissa [e-mail] full professor university of sidi bel abbes faculty of exact science