Total controllability of non-autonomous second-order measure evolution systems with state-dependent delay and non-instantaneous impulses-Reference-Cited by-同舟云学术

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

Published:2022 Issue:2 Volume:20 Page:2061-2080
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Wang Yang¹,Liu Yongyang²,Liu Yansheng²

Affiliation:

1. School of Information Engineering, Shandong Management University, Jinan 250357, China

2. School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, China

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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