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

共 50 条

[1] Approximate controllability of neutral stochastic integro-differential equations with state-dependent delay
Li, Meili
Huang, Mingcui
Liu, Man
[J]. JOURNAL OF COUPLED SYSTEMS AND MULTISCALE DYNAMICS, 2016, 4 (02) : 119 - 128
[2] Controllability Results for Impulsive Neutral Stochastic Evolution Integro-differential Equations with State-Dependent Delay
Huang, Hao
Hu, Ling
Wang, Lianglong
[J]. 2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 1487 - 1492
[3] Approximate controllability of partial fractional neutral stochastic functional integro-differential inclusions with state-dependent delay
Zuomao Yan
Xiumei Jia
[J]. Collectanea Mathematica, 2015, 66 : 93 - 124
[4] Approximate controllability of partial fractional neutral stochastic functional integro-differential inclusions with state-dependent delay
Yan, Zuomao
Jia, Xiumei
[J]. COLLECTANEA MATHEMATICA, 2015, 66 (01) : 93 - 124
[5] Approximate controllability of fractional neutral integro-differential inclusions with state-dependent delay in Hilbert spaces
Yan, Zuomao
[J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2013, 30 (04) : 443 - 462
[6] Approximate Controllability of Neutral Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulses
Bensalem, Abdelhamid
Salim, Abdelkrim
Benchohra, Mouffak
Feckan, Michal
[J]. MATHEMATICS, 2023, 11 (07)
[7] Existence and controllability of fractional stochastic neutral functional integro-differential systems with state-dependent delay in Frechet spaces
Yan, Zuomao
Lu, Fangxia
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (02): : 603 - 616
[8] On approximate controllability of fractional stochastic neutral integro-differential inclusions with infinite delay
Yan, Zuomao
Lu, Fangxia
[J]. APPLICABLE ANALYSIS, 2015, 94 (06) : 1235 - 1258
[9] Existence results for fractional neutral integro-differential equations with state-dependent delay
Carvalho dos Santos, Jose Paulo
Arjunan, M. Mallika
Cuevas, Claudio
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1275 - 1283
[10] EXISTENCE RESULTS FOR A PARTIAL NEUTRAL INTEGRO-DIFFERENTIAL EQUATION WITH STATE-DEPENDENT DELAY
Dos Santos, Jose Paulo C.
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (29) : 1 - 12

← 1 2 3 4 5 →