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

Adolfo Guillot

Symmetry, integrability and geometry: methods and applications, Tome 14 (2018)

Résumé

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.

Détail

Keywords: Painlevé property; univalence; semicompleteness; Chazy equation; Riccati equation; Kowalevski exponents.

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