Controllability of Second Order Functional Random Differential Equations with Delay

Mathematics

卷:10

Erdal Karapinar¹  Abdelkrim Salim²  Fatima Bouazzaoui²  Mouffak Benchohra² 

[1] Division of Applied Mathematics, Thu Dau Mot University, Thu Dau Mot City 820000, Vietnam;

[2] Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria;

关键词: random fixed point;    functional differential equation;    state-dependent delay;    cosine and sine family;    mild solution;    controllability;   

DOI  :  10.3390/math10071120

来源: DOAJ

【 摘 要 】

In this article, we study some existence and controllability results for two classes of second order functional differential equations with delay and random effects. To begin, we employ a random fixed point theorem with a stochastic domain to demonstrate the existence of mild random solutions. Next, we prove that our problems are controllable. Finally, an example is given to validate the theory part.

【 授权许可】

Unknown