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

Autor: Yang Wang, Yongyang Liu, Yansheng Liu
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematical Biosciences and Engineering, Vol 20, Iss 2, Pp 2061-2080 (2023)
Druh dokumentu: article
ISSN: 1551-0018
DOI: 10.3934/mbe.2023095?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals