On the structure of some typical singularities for implicit ordinary differential equations

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dc.creatorPomazanov, M. V.
dc.date2000-07-07
dc.date.accessioned2026-07-07T04:27:52Z
dc.date.available2026-07-07T04:27:52Z
dc.descriptionWe study the systems of ordinary differential equations which are implicit with respect to the higher derivatives, appearing in the linear form, and their solutions near the singular points. The invertibility of the higher derivatives reduces to the singular surface where the theorem of uniqueness and existence is violated.A set of the singular solution is obtained for the case requiring the minimal number of additional conditions. The various types of singularities correspond to these cases. These ``turning'', ``intersection'' singularities appear in several physical applications.
dc.description20 LaTeX pages, 2 Latex figures
dc.identifierhttps://arxiv.org/abs/math-ph/0007008
dc.identifierhttp://arxiv.org/abs/math-ph/0007008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56581
dc.subjectMathematical Physics
dc.titleOn the structure of some typical singularities for implicit ordinary differential equations
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