Abstract
Found are conditions of rather general nature sufficient for the existence of the limit at infinity of the Cesàro means $$ \frac{1}{t} \int_0^ty(s)\,ds $$ for every bounded weak solution $y(\cdot)$ of the abstract evolution equation $$ y'(t)=Ay(t),\ t\ge 0, $$ with a closed linear operator $A$ in a Banach space $X$.
Key words: Mean ergodicity, weak solution.
Full Text
Article Information
| Title | On the mean ergodicity of weak solutions of an abstract evolution equation |
| Source | Methods Funct. Anal. Topology, Vol. 24 (2018), no. 1, 53-70 |
| MathSciNet |
MR3783818 |
| Milestones | Received 10/03/2017; Revised 03/09/2017 |
| Copyright | The Author(s) 2018 (CC BY-SA) |
Authors Information
Marat V. Markin
Department of Mathematics, California State University, Fresno, 5245 N. Backer Avenue, M/S PB 108, Fresno, CA 93740-8001, USA
Citation Example
Marat V. Markin, On the mean ergodicity of weak solutions of an abstract evolution equation, Methods Funct. Anal. Topology 24
(2018), no. 1, 53-70.
BibTex
@article {MFAT1025,
AUTHOR = {Marat V. Markin},
TITLE = {On the mean ergodicity of weak solutions of an abstract evolution equation},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {24},
YEAR = {2018},
NUMBER = {1},
PAGES = {53-70},
ISSN = {1029-3531},
MRNUMBER = {MR3783818},
URL = {http://mfat.imath.kiev.ua/article/?id=1025},
}
