The study by the generalized Briot-Bouquet method of the properties of solutions near singular initial values of a nonautonomous differential system.(Russian)Zbl 0315.34007

MSC:

 34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. 34M99 Ordinary differential equations in the complex domain 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations 34C20 Transformation and reduction of ordinary differential equations and systems, normal forms 34D05 Asymptotic properties of solutions to ordinary differential equations