An investigation on the approximate controllability of impulsive neutral delay differential inclusions of second order

被引：3

作者：

Vijayakumar, Velusamy ^{[1
]}

Nisar, Kottakkaran Sooppy ^{[2
]}

Shukla, Anurag ^{[3
]}

Hazarika, Bipan ^{[4
]}

Samidurai, Rajendran ^{[5
]}

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 Al Dawaser, Saudi Arabia

[3] Rajkiya Engn Coll Kannauj, Dept Appl Sci, Kannauj, India

[4] Gauhati Univ, Dept Math, Gauhati, India

[5] Thiruvalluvar Univ, Dept Math, Vellore, Tamil Nadu, India

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年

关键词：

approximate controllability; impulsive system; infinite delay; neutral equations; second-order differential system; LESS-THAN; 2; EVOLUTION SYSTEMS; INFINITE DELAY; GLOBAL-SOLUTIONS; EXISTENCE; EQUATIONS;

D O I：

10.1002/mma.8142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper mainly focuses on the approximate controllability for second-order impulsive neutral differential inclusions with infinite delay. By using the results related to cosine and sine function of operators, Dhage's fixed point theorem, and their outcome when combined with the properties of differential inclusions, our primary discussions are proved. Finally, we provided an example for the illustration of the theory obtained.

引用

页数：19

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