New Lipschitz–type conditions for uniqueness of solutions of ordinary differential equations

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URI: http://hdl.handle.net/10347/29394
E-ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2022.126349

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2022

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Elsevier
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Abstract

We present some generalized Lipschitz conditions which imply uniqueness of solutions for scalar ODEs. We illustrate the applicability of our results with examples not covered by earlier Lipschitz–type uniqueness tests

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Uniqueness| Ordinary differential equation| Lipschitz condition| Osgood condition

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Journal of Mathematical Analysis and Applications 514 (2022) 126349

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Rodrigo López Pouso and Jorge Rodríguez López were partially supported by grant ED431C 2019/02, Xunta de Galicia (Spain), and by Ministerio de Ciencia y Tecnología (Spain), grant PID2020-113275GB-I00

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© 2022 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/)
Atribución 4.0 Internacional

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Estatística, Análise Matemática e Optimización