Open Access$ (\omega,\mathbb{T}) $-periodic solutions of impulsive evolution equations
Author(s) -
Michal Fečkan,
Kui Liu,
JinRong Wang
Publication year - 2022
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2021006
Subject(s) - omega , mathematics , uniqueness , banach space , isomorphism (crystallography) , combinatorics , operator (biology) , discrete mathematics , mathematical analysis , physics , crystallography , biochemistry , chemistry , quantum mechanics , repressor , transcription factor , crystal structure , gene
In this paper, we study \begin{document}$ (\omega,\mathbb{T}) $\end{document} -periodic impulsive evolution equations via the operator semigroups theory in Banach spaces \begin{document}$ X $\end{document} , where \begin{document}$ \mathbb{T}: X\rightarrow X $\end{document} is a linear isomorphism. Existence and uniqueness of \begin{document}$ (\omega,\mathbb{T}) $\end{document} -periodic solutions results for linear and semilinear problems are obtained by Fredholm alternative theorem and fixed point theorems, which extend the related results for periodic impulsive differential equations.