Results on approximate controllability of neutral integro-differential stochastic system with state-dependent delay

被引：19

作者：

Dineshkumar, C. ^{[1
]}

Udhayakumar, R. ^{[1
]}

Vijayakumar, V. ^{[1
]}

Nisar, Kottakkaran Sooppy ^{[2
]}

机构：

[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[2] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser, Saudi Arabia

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2024年 / 40卷 / 01期

关键词：

approximate controllability; integro‐ differential equations; resolvent operator; stochastic equations; FUNCTIONAL-DIFFERENTIAL EQUATIONS; PERIODIC-SOLUTIONS; EXISTENCE; INCLUSIONS;

D O I：

10.1002/num.22698

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is mainly focusing on the approximate controllability of neutral integro-differential stochastic equations with state-dependent delay. The main results of this article are proved by applying some ideas about the semigroup theory and resolvent operators. At first, the investigation about the existence of a mild solution and then we discuss the approximate controllability of the considered system. Next, we extend our study to the system with non-local conditions. Finally, a theoretical application is presented for proving the validity of controllability results obtained.

引用

页数：15

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