Classifications of completely integrable implicit second order ordinary differential equations

DOI10.5427/jsing.2014.10szbMath1316.34012OpenAlexW2315216379MaRDI QIDQ2941116

Masatomo Takahashi

Publication date: 22 January 2015

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5427/jsing.2014.10s

zbMATH Keywords

singular solutioncomplete solutionClairaut equationgeometric solutionimplict ordinary differential equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Implicit ordinary differential equations, differential-algebraic equations (34A09) Geometric methods in ordinary differential equations (34A26)

Related Items (1)

Open problems, questions and challenges in finite- dimensional integrable systems

Cites Work

• How to define singular solutions
• On singular solutions of implicit second-order ordinary differential equations
• Singularities of second-order implicit differential equations: A geometrical approach
• On implicit second-order ordinary differential equations: Completely integrable and Clairaut type
• Classifications of implicit second-order ordinary differential equations of Clairaut type
• Singularites generiques des equations differentielles multiformes
• Singular Solutions of First-Order Differential Equations
• CLASSIFICATION OF GENERIC INTEGRAL DIAGRAMS AND FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS
• On complete solutions and complete singular solutions of second order ordinary differential equations
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