Lan-Ling Zheng, Hui-Sheng Ding
Abstract:
We establish two fixed point theorems for affine maps in Banach spaces,
with weaker assumptions than those in the literature.
Then we establish some Massera type results for abstract linear evolution
equations without assuming the existence of
bounded solutions, which is an indispensable condition in the classical Massera
theorem and in the earlier literature.
As application, we present an existence result on periodic mild solutions to
abstract nonautonomous semilinear evolution equations.
Submitted October 8, 2023. Published June 6, 2024.
Math Subject Classifications: 34C25, 35B10, 34G10, 47D06.
Key Words: Massera theorem; affine map; periodic solution; abstract evolution.
DOI: 10.58997/ejde.2024.35
Show me the PDF file (323 KB), TEX file for this article.
 |
Lan-Ling Zheng School of Mathematics and Statistics Jiangxi Normal University Nanchang, Jiangxi 330022, China email: 202150000054@jxnu.edu.cn |
|---|---|
 |
Hui-Sheng Ding School of Mathematics and Statistics Jiangxi Normal University Nanchang, Jiangxi 330022, China email: dinghs@mail.ustc.edu.cn |
Return to the EJDE web page