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- Title
Existence and Approximate Controllability of Solutions for an Impulsive Evolution Equation with Nonlocal Conditions in Banach Space.
- Authors
Lixin Sheng; Weimin Hu; You-Hui Su; Yongzhen Yun
- Abstract
In this article, we study the existence of mild solutions and approximate controllability for non-autonomous impulsive evolution equations with nonlocal conditions in Banach space. The existence of mild solutions and some conditions for approximate controllability of these non-autonomous impulsive evolution equations are given by using the Krasnoselskii's fixed point theorem, the theory of evolution family and the resolvent operator. In particular, the impulsive functions are supposed to be continuous and the nonlocal item is divided into Lipschitz continuous and completely bounded. An example is given as an application of the results.
- Subjects
EVOLUTIONARY theories; NONLINEAR control theory; PARTIAL differential equations; MATHEMATICS; LIPSCHITZ spaces
- Publication
Journal of Nonlinear Modeling & Analysis, 2024, Vol 6, Issue 1, p194
- ISSN
2562-2854
- Publication type
Article
- DOI
10.12150/jnma.2024.194