An explicit Maclaurin series solution to a classic non-autonomous abstract evolution equation

Autor:	Bassom, Andrew, Howlett, Phil, Taylor, Peter
Rok vydání:	2021
Předmět:	Mathematics - Dynamical Systems 34A25 34A30 34G10
Zdroj:	Applied Mathematics Letters, 139, May 2023, 108537
Druh dokumentu:	Working Paper
DOI:	10.1016/j.aml.2022.108537
Popis:	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. Comment: 30 pages. No figures. Corrected version of article published in Applied Mathematics letters
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2105.11670 Zobrazit plný text záznamu View this record from Arxiv