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arXiv · 1403.7460

On Expansion of a Solution of General Non-autonomous Polynomial Differential Equation

Gabriel Pietrzkowski
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Abstract

We give a recursive formula for an expansion of a solution of a general non-autonomous polynomial differential equation. The formula is given on the algebraic level with a use of shuffle product. This approach minimizes the number of integrations on each order of expansion. Using combinatorics of trees we estimate the radius of convergence of the expansion.

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BibTeXRIS

Gabriel Pietrzkowski. 2014-03-28. On Expansion of a Solution of General Non-autonomous Polynomial Differential Equation. https://arxiv.org/abs/1403.7460

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