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
Main Authors: Lixin Sheng, Weimin Hu, You-Hui Su
Format: Article
Language:English
Published: SpringerOpen 2024-01-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-024-01819-5

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