Existence and optimal controls of non-autonomous for impulsive evolution equation without Lipschitz assumption

Abstract In this paper, we investigate the existence of mild solutions as well as optimal controls for non-autonomous impulsive evolution equations with nonlocal conditions. Using the Schauder’s fixed-point theorem as well as the theory of evolution family, we prove the existence of mild solutions f...

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Bibliographic Details

Published in:	Boundary Value Problems
Main Authors:	Lixin Sheng, Weimin Hu, You-Hui Su
Format:	Article
Language:	English
Published:	SpringerOpen 2024-01-01
Subjects:	Impulsive evolution equation Optimal controls Nonlocal conditions Resolvent operator Schauder’s fixed point theorem
Online Access:	https://doi.org/10.1186/s13661-024-01819-5