An explicit Maclaurin series solution to a classic non-autonomous abstract evolution equation
Dynamical Systems
2023-04-10 v2
Abstract
It is well known that the non-autonomous scalar differential equation of evolution has a unique solution given by an elementary exponential function. In general there is no such analogous solution to the corresponding non-autonomous evolution equation for square matrices. In this paper we propose and justify an explicit Maclaurin series solution to a classic non-autonomous abstract evolution equation for bounded linear operators on Banach space.
Cite
@article{arxiv.2105.11670,
title = {An explicit Maclaurin series solution to a classic non-autonomous abstract evolution equation},
author = {Andrew Bassom and Phil Howlett and Peter Taylor},
journal= {arXiv preprint arXiv:2105.11670},
year = {2023}
}
Comments
30 pages. No figures. Corrected version of article published in Applied Mathematics letters