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arxiv: 1105.2156 · v1 · pith:MFR5LMMXnew · submitted 2011-05-11 · 🧮 math.CA · math.DS

On the Nagumo uniqueness theorem

classification 🧮 math.CA math.DS
keywords uniquenessableacadconclusionsconstantincontributionconvenientcriterion
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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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