On some properties of the singular set of two ODE

DOI10.1080/09720502.2005.10700393zbMath1096.34002OpenAlexW2330812356MaRDI QIDQ3370566

M. Strianese

Publication date: 8 February 2006

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

Full work available at URL: https://doi.org/10.1080/09720502.2005.10700393

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Cites Work

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• Extension of solution of ODE via the singular set.
• Minimal distance between the interacting points as a consequence of the singular set of Euler-Lagrange equations
• Prolongation of the integral curve on the singular set via the first integral

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