An explicit Maclaurin series solution to a classic non-autonomous abstract evolution equation
| Autor: | Phil Howlett, Andrew Bassom, Peter Taylor |
|---|---|
| Přispěvatelé: | Bassom, Andrew, Howlett, Phil, Taylor, Peter |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
analytic functions
abstract evolution equations bounded linear operators Applied Mathematics ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION FOS: Mathematics MathematicsofComputing_NUMERICALANALYSIS 34A25 34A30 34G10 Dynamical Systems (math.DS) ComputingMethodologies_GENERAL Mathematics - Dynamical Systems |
| 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. 30 pages. No figures. Corrected version of article published in Applied Mathematics letters |
| Databáze: | OpenAIRE |
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