Quadratic Differential Equations in Three Variables without Multivalued Solutions: Part I
Classical Analysis and ODEs
2018-11-13 v2
Abstract
For ordinary differential equations in the complex domain, a central problem is to understand, in a given equation or class of equations, those whose solutions do not present multivaluedness. We consider autonomous, first-order, quadratic homogeneous equations in three variables, and begin the classification of those which do not have multivalued solutions.
Cite
@article{arxiv.1804.10664,
title = {Quadratic Differential Equations in Three Variables without Multivalued Solutions: Part I},
author = {Adolfo Guillot},
journal= {arXiv preprint arXiv:1804.10664},
year = {2018}
}