Solvability and controllability of second-order non-autonomous impulsive neutral evolution hemivariational inequalities

被引：0

作者：

Ma, Yong-Ki ^{[1
]}

Valliammal, N. ^{[2
]}

Jothimani, K. ^{[3
]}

Vijayakumar, V. ^{[4
]}

机构：

[1] Kongju Natl Univ, Dept Appl Math, Gongju 32588, Chungcheongnam, South Korea

[2] Sri Eshwar Coll Engn, Dept Math, Coimbatore 641202, Tamil Nadu, India

[3] Sri GVG Visalakshi Coll Women, Dept Math, Udumalpet 642128, Tamil Nadu, India

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

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 10期

关键词：

existence; approximate controllability; generalized Clarke's subdifferential; hemivariational inequalities; DIFFERENTIAL-INCLUSIONS; EXTREMAL SOLUTIONS; FEEDBACK-CONTROL; EXISTENCE;

D O I：

10.3934/math.20241288

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The primary aim of this article was to explore the approximate controllability of second- order impulsive hemivariational inequalities with initial conditions in Hilbert space. The mild solution was initially derived using the properties of the cosine and sine family of operators, Clarke's subdifferential, and the fact that the related linear equation has an evolution operator. The results of the approximate controllability of the considered systems were then taken into account using the fixed-point theorem method. An application was provided to support our theoretical findings.

引用

页码：26462 / 26482

页数：21

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