Random semilinear system of differential equations with state-dependent delay

Year 2019, , 1 - 10, 31.03.2019

Ferhat Mohamed , Blouhi Tayeb

https://doi.org/10.31197/atnaa.468807

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

References

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