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On the Nagumo uniqueness theorem
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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