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arXiv · 2006.04749

Ring of flows of one-dimensional differential equations

Ronald Orozco López
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Abstract

In this article, the ring of flows of autonomous differential equations of order one on integral domains is constructed. First, we build the autonomous ring $\Opa(\hurw_{R}[[x]])$ and then its structure is studied. Next, we build the ring of formal exponential generating series of the ring $\Opa(\hurw_ {R} [[x]]) $, where it is possible to find solutions of differential equations of order one when the vector field of the system can be decomposed in sum or product of functions.

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Ronald Orozco López. 2020-06-08. Ring of flows of one-dimensional differential equations. https://arxiv.org/abs/2006.04749

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