Order one equations with the Painlev\'e property
Algebraic Geometry
2012-02-22 v1 Classical Analysis and ODEs
Abstract
Differential equations with the Painlev\'e property have been studied extensively due to their appearance in many branches of mathematics and their applicability in physics. Although a modern, differential algebraic treatment of the order one equations appeared before, the connection with the classical theory did not. Using techniques from algebraic geometry we provide the link between the classical and the modern treatment, and with the help of differential Galois theory a new classification is derived, both for characteristic 0 and p.
Cite
@article{arxiv.1202.4633,
title = {Order one equations with the Painlev\'e property},
author = {Georg Muntingh and Marius van der Put},
journal= {arXiv preprint arXiv:1202.4633},
year = {2012}
}
Comments
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