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

被引：1

作者：

Wang, Yang ^{[1
]}

Liu, Yongyang ^{[2
]}

Liu, Yansheng ^{[2
]}

机构：

[1] Shandong Management Univ, Sch Informat Engn, Jinan 250357, Peoples R China

[2] Shandong Normal Univ, Sch Math & Stat, Jinan 250358, Peoples R China

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2023年 / 20卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Mo?nch fixed point theorem; second-order evolution systems; state-dependent delay; non-instantaneous impulses; total controllability; FUNCTIONAL-DIFFERENTIAL EQUATIONS; BOUNDARY-VALUE-PROBLEMS; APPROXIMATE CONTROLLABILITY; STABILITY; FINITE; NETWORKS; BEHAVIOR;

D O I：

10.3934/mbe.2023095

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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 con-trollability for the considered system are obtained by applying strongly continuous cosine family and the Mo center dot nch fixed point theorem. Finally, an example is used to verify the practical application of the conclusion.

引用

页码：2061 / 2080

页数：20

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