Controllability of Second Order Functional Random Differential Equations with Delay

被引：27

作者：

Benchohra, Mouffak ^{[1
]}

Bouazzaoui, Fatima ^{[1
]}

Karapinar, Erdal ^{[2
,3
,4
]}

Salim, Abdelkrim ^{[1
]}

机构：

[1] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria

[2] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot City 820000, Vietnam

[3] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey

[4] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

来源：

MATHEMATICS | 2022年 / 10卷 / 07期

关键词：

random fixed point; functional differential equation; state-dependent delay; cosine and sine family; mild solution; controllability; finite delay; INTEGRODIFFERENTIAL INCLUSIONS; SYSTEMS;

D O I：

10.3390/math10071120

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页数：16

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