A discussion on boundary controllability of nonlocal impulsive neutral integrodifferential evolution equations. (3rd February 2022)

• Record Type: Journal Article
• Authors: Kumar, Kamalendra; Patel, Rohit; Vijayakumar, Velusamy; Shukla, Anurag; Ravichandran, Chokkalingam
• Other Names: Nizovtseva Irina guestEditor.; Alexandrov Dmitri guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 45:Number 13(2022)
• Page Start: 8193
• Page End: 8215
• Publication Date: 2022-02-03
• Subjects: Banach fixed point theorem -- boundary controllability -- integrodifferential system -- nonlocal condition -- time‐varying delays; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.8117
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : Sufficient conditions for boundary controllability of nonlocal impulsive neutral integrodifferential evolution equations are explored. In the first problem, the outcomes are proven with the help of Sadovskii's fixed point theorem collaborated with strongly continuous semigroup theory. In the second problem, we considered nonautonomous evolution equations, and the result is proven by employing Sadovskii's fixed point theorem in collaboration with the evolution system. Examples are included to demonstrate the theoretical results for both types of equations.