An investigation on the existence and approximate controllability of neutral stochastic hemivariational inequalities

被引：6

作者：

Valliammal, N. ^{[1
]}

Jothimani, K. ^{[2
]}

Panda, Sumati Kumari ^{[3
]}

Vijayakumar, V. ^{[2
]}

机构：

[1] Sri Eshwar Coll Engn, Dept Math, Coimbatore 641202, India

[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, India

[3] GMR Inst Technol, Dept Math, Rajam 532127, Andhra Pradesh, India

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2024年 / 73卷 / 03期

关键词：

Approximate controllability; Hemivariational inequalities; Clarke generalized subdifferential; Neutral systems; Stochastic systems; DIFFERENTIAL-INCLUSIONS; EXTREMAL SOLUTIONS; SYSTEMS; DELAY; EQUATIONS; STATE;

D O I：

10.1007/s12215-023-00967-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main study of this article is approximate controllability results for neutral stochastic hemivariational inequalities in Hilbert spaces. The mild solution is initially derived by using the theories on the semigroup, Clarke's subdifferential operators and fixed point theorem method. Initially we proved the existence of the mild solution for the neutral stochastic hemivariational inequalities and provided the approximate controllability of the considered system. Finally, a simple application also provided to illustrate the theory obtained.

引用

页码：941 / 958

页数：18

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