Total controllability of non-autonomous second-order measure evolution systems with state-dependent delay and non-instantaneous impulses

This paper investigates a new class of non-autonomous second-order measure evolution systems involving state-dependent delay and non-instantaneous impulses. We introduce a stronger concept of exact controllability called total controllability. The existence of mild solutions and controllability for...

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Bibliographic Details
Published in:Mathematical Biosciences and Engineering
Main Authors: Yang Wang, Yongyang Liu, Yansheng Liu
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Subjects:
mönch fixed point theorem
second-order evolution systems
state-dependent delay
non-instantaneous impulses
total controllability
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2023095?viewType=HTML
Description
Summary:This paper investigates a new class of non-autonomous second-order measure evolution systems involving state-dependent delay and non-instantaneous impulses. We introduce a stronger concept of exact controllability called total controllability. The existence of mild solutions and controllability for the considered system are obtained by applying strongly continuous cosine family and the Mönch fixed point theorem. Finally, an example is used to verify the practical application of the conclusion.
ISSN:1551-0018

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