Random semilinear system of differential equations with state-dependent delay

Authors : Ferhat MOHAMED, Blouhi TAYEB

Pages : 1-10

Doi:10.31197/atnaa.468807

View : 10 | Download : 6

Publication Date : 2019-03-31

Article Type : Research Paper

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