Algebraically and analytically solvable local problems in the theory of ordinary differential equations

DOI10.1007/BF01102999zbMath0685.34028OpenAlexW308963301MaRDI QIDQ1826012

Yulij S. Ilyashenko

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01102999

zbMATH Keywords

singular points

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Stability of solutions to ordinary differential equations (34D20) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items (1)

The problem of distinguishing between a centre and a focus in the space of vector fields with given Newton diagram

Cites Work

• Invariant normal forms of formal series
• Singularities of vector fields on the plane with pointed direction
• Singularities of vector fields on the plane
• On the stability of the equilibrium position in critical and near- critical cases
• Singularities of vector fields
• One-dimensional cohomologies of discrete subgroups
• Unnamed Item

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