- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 3 Issue: 1
- Random semilinear system of differential equations with state-dependent delay
Random semilinear system of differential equations with state-dependent delay
Authors : Ferhat Mohamed, Blouhi Tayeb
Pages : 1-10
Doi:10.31197/atnaa.468807
View : 9 | Download : 5
Publication Date : 2019-03-31
Article Type : Research
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