Total Controllability of Non-Autonomous Measure Evolution Systems with Non-Instantaneous Impulses and State-Dependent Delay

Yang Wang, Yongyang Liu and Yansheng Liu
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Yang Wang: School of Information Engineering, Shandong Management University, Jinan 250357, China
Yongyang Liu: School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, China
Yansheng Liu: School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, China

Mathematics, 2022, vol. 10, issue 15, 1-15

Abstract: This paper is concerned with the existence of mild solutions and total controllability for a class of non-autonomous measure evolution systems with non-instantaneous impulses and state-dependent delay. By using the theory of evolution family and Krasnoselskii’s fixed point theorem, the existence of mild solutions and total controllability for the considered systems is obtained. Finally, we give two applications to support the validity of the study.

Keywords: controllability; non-autonomous; non-instantaneous impulses; state-dependent delay; fixed point theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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