On the Nagumo uniqueness theorem |
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| Authors: | Octavian G Mustafa Donal O’Regan |
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| Institution: | a University of Vienna, Faculty of Mathematics, Nordbergstrasse 15, A-1090 Vienna, Austriab National University of Ireland, Mathematics Department, Galway, Ireland |
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| Abstract: | By a convenient reparametrization of the integral curves of a nonlinear ordinary differential equation (ODE), we are able to improve the conclusions of a recent generalization of Nagumo’s uniqueness theorem. In this way, we establish a flexible uniqueness criterion for ODEs without Lipschitz-like nonlinearities. |
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| Keywords: | 34A12 34A34 |
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