Quadratic Differential Equations in Three Variables without Multivalued Solutions: Part I

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• ISSN: 1815-0659
• Main Author: Guillot, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209882
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Quadratic Differential Equations in Three Variables without Multivalued Solutions: Part I / A. Guillot // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 47 назв. — англ.

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 class...