On the Alekseev-Gröbner formula in Banach spaces
Abstract
The Alekseev-Gröbner formula is a well known tool in numerical analysis for describing the effect that a perturbation of an ordinary differential equation (ODE) has on its solution. In this article we provide an extension of the Alekseev-Gröbner formula for Banach space valued ODEs under, loosely speaking, mild conditions on the perturbation of the considered ODEs.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2018
- DOI:
- arXiv:
- arXiv:1810.10030
- Bibcode:
- 2018arXiv181010030J
- Keywords:
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- Mathematics - Classical Analysis and ODEs
- E-Print:
- 36 pages