The functional formulation of second-order ordinary differential equations

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dc.creatorChladek, P.
dc.date2003-10-28
dc.date.accessioned2026-07-07T05:02:18Z
dc.date.available2026-07-07T05:02:18Z
dc.descriptionIn this paper, the necessary and sufficient conditions in order that a smooth mapping F be a dependence of a complete solution of some second-order ordinary differential equation on Neumann conditions are deduced. These necessary and sufficient conditions consist of functional equations for F and of a smooth extensibility condition. Illustrative examples are presented to demonstrate this result. In these examples, the mentioned functional equations for F are related to the functional equations for geodesics, to Jensen's equation, to the functional equations for conic sections and to Neuman's result for linear ordinary differential equations.
dc.description8 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0310443
dc.identifierhttp://arxiv.org/abs/math/0310443
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69007
dc.subjectClassical Analysis and ODEs
dc.subjectDynamical Systems
dc.subject39B52; 34A12
dc.titleThe functional formulation of second-order ordinary differential equations
dc.typetext

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