On the Nagumo uniqueness theorem

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Dec 2011Embargo end date: 01 May 2011 Ireland English Publisher:Elsevier BVJournal:Nonlinear Analysis: Theory, Methods & Applications, volume 74, pages 6,383-6,386 (issn: 0362-546X,

Copyright policy )Publicly funded

Authors: Mustafa, Octavian G.; O’Regan, Donal;

doi: 10.1016/j.na.2011.06.019 , 10.48550/arxiv.1105.2156 , 10.13025/28834

arXiv: 1105.2156

handle: 10379/13060

On the Nagumo uniqueness theorem

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Abstract

By a convenient reparametrisation of the integral curves of a nonlinear ordinary differential equation (ODE), we are able to improve the conclusions of the recent contribution [A. Constantin, Proc. Japan Acad. {\bf 86(A)} (2010), 41--44]. In this way, we establish a flexible uniqueness criterion for ODEs without Lipschitz-like nonlinearities.

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Keywords

Externally hosted open access publications with University of Galway authors, Dynamical Systems (math.DS), Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Nonlinear ordinary differential equations and systems, ordinary differential equation, 34A12, 34A34, reparametrization, Mathematics - Classical Analysis and ODEs, equations, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics - Dynamical Systems, uniqueness of solution

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