FUNCTIONAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY AND RANDOM EFFECTS

Romanian Journal of Mathematics and Computer Science

MOUFFAK BENCHOHRA¹  AMEL BENAISSA² 

[1] Laboratory of Mathematics, University of Sidi Bel-Abbes, PO Box 89, 22000 Sidi Bel-Abbes, Algeria and Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia, e-mail: [e-mail];Laboratory of Mathematics, University of Sidi Bel-Abbes, PO Box 89, 22000 Sidi Bel-Abbes, Algeria, e-mail: [e-mail];

关键词: : Functional differential equation;    mild random solution;    finite delay;    random fixed point;    semigroup theory;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this work we study the existence of mild solutions of a functional differential equation with delay and random effects. We use a random fixed point theorem with stochastic domain to show the existence of mild random solutions.

【 授权许可】

Unknown