Controllability of the second-order nonlinear differential equations with non-instantaneous impulses
type: Item
instance of: scholarly article
title: Controllability of the second-order nonlinear differential equations with non-instantaneous impulses
zbMATH Open document ID: 1391.34100
author: Avadhesh Kumar
author: M. Muslim
author: R. Sakthivel
published in: Journal of Dynamical and Control Systems
publication date: 2018-04-13T00:00:00Z
review text: The paper is devoted to the controllability of a second order nonlinear differential equation with noninstantaneous impulses in a Hilbert space. A new set of sufficient conditions is established based on the strongly continuous cosine family of linear operators and Banach fixed point technique. The controllability of the nonlocal as well as integro-differential systems is also studied. In the final part of the paper, two examples are provided. The examples illustrate the applications of the abstract results obtained in the paper.
reviewed by: Vyacheslav I. Maksimov
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 47D09
Mathematics Subject Classification ID: 34H05
Mathematics Subject Classification ID: 92B05
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6859814
zbMATH Keywords: exact controllability
zbMATH Keywords: non-instantaneous impulses
zbMATH Keywords: Banach fixed point theorem
MaRDI profile type: Publication
full work available at URL: s10883-017-9376-5
OpenAlex ID: W2754232627
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DOI: 10.1007/S10883-017-9376-5
description: scientific article; zbMATH DE number 6859814