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Main Authors: Gupta, Garima, Dabas, Jaydev
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2412.01355
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author Gupta, Garima
Dabas, Jaydev
author_facet Gupta, Garima
Dabas, Jaydev
contents This paper examines impulsive controls related to nonautonomous impulsive integro-differential equations in Hilbert space, highlighting their significance. We establish the existence of the mild solution by using fixed point approach and present conditions for approximate controllability using impulsive resolvent operators and the adjoint problem, supported by an illustrative example.
format Preprint
id arxiv_https___arxiv_org_abs_2412_01355
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The existence and controllability of nonautonomous system influenced by impulses on both state and control
Gupta, Garima
Dabas, Jaydev
Optimization and Control
This paper examines impulsive controls related to nonautonomous impulsive integro-differential equations in Hilbert space, highlighting their significance. We establish the existence of the mild solution by using fixed point approach and present conditions for approximate controllability using impulsive resolvent operators and the adjoint problem, supported by an illustrative example.
title The existence and controllability of nonautonomous system influenced by impulses on both state and control
topic Optimization and Control
url https://arxiv.org/abs/2412.01355