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arXiv · 1810.10030

On the Alekseev-Gr\"obner formula in Banach spaces

Arnulf Jentzen·Felix Lindner·Primož Pušnik
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Abstract

The Alekseev-Gr\"obner 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-Gr\"obner formula for Banach space valued ODEs under, loosely speaking, mild conditions on the perturbation of the considered ODEs.

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BibTeXRIS

Arnulf Jentzen, Felix Lindner, Primož Pušnik. 2018-10-23. On the Alekseev-Gr\"obner formula in Banach spaces. https://doi.org/10.3934/dcdsb.2019128

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