@Article{JNMA-6-1,
author = {Sheng, Lixin and Weimin, Hu and You-Hui, Su and Yun, Yongzhen},
title = {Existence and Approximate Controllability of Solutions for an Impulsive Evolution Equation with Nonlocal Conditions in Banach Space},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {1},
pages = {194--209},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2024.194},
url = {https://global-sci.com/article/91147/existence-and-approximate-controllability-of-solutions-for-an-impulsive-evolution-equation-with-nonlocal-conditions-in-banach-space}
}