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

Velusamy Vijayakumar; Kottakkaran Sooppy Nisar; Anurag Shukla; Bipan Hazarika; Rajendran Samidurai

doi:10.1002/mma.8142

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

Velusamy Vijayakumar
, Kottakkaran Sooppy Nisar
, Anurag Shukla
, Bipan Hazarika
, Rajendran Samidurai

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1772-1790
Number of pages	19
Journal	Mathematical Methods in the Applied Sciences
Volume	49
Issue number	3
DOIs	https://doi.org/10.1002/mma.8142
State	Published - Feb 2026

Keywords

approximate controllability
impulsive system
infinite delay
neutral equations
second-order differential system

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10.1002/mma.8142

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abstract = "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.",

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AU - Shukla, Anurag

AU - Hazarika, Bipan

AU - Samidurai, Rajendran

PY - 2026/2

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N2 - 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.

AB - 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.

KW - approximate controllability

KW - impulsive system

KW - infinite delay

KW - neutral equations

KW - second-order differential system

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

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Keywords

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