On the Nagumo uniqueness theorem

Octavian G. Mustafa; Donal O'Regan

doi:10.13025/28834

On the Nagumo uniqueness theorem

Octavian G. Mustafa
, Donal O'Regan

Mathematics

University of Vienna
University of Craiova

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	6383-6386
Number of pages	4
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	74
Issue number	17
DOIs	https://doi.org/10.13025/28834 https://doi.org/10.1016/j.na.2011.06.019
Publication status	Published - Dec 2011

Keywords

Ordinary differential equation
Reparametrization
Uniqueness of solution

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10.13025/28834Licence: CC BY-NC-ND
10.1016/j.na.2011.06.019

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title = "On the Nagumo uniqueness theorem",

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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T1 - On the Nagumo uniqueness theorem

AU - Mustafa, Octavian G.

AU - O'Regan, Donal

PY - 2011/12

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N2 - 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.

AB - 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.

KW - Ordinary differential equation

KW - Reparametrization

KW - Uniqueness of solution

UR - http://hdl.handle.net/10379/13060

UR - https://www.scopus.com/pages/publications/80051577634

U2 - 10.13025/28834

DO - 10.13025/28834

M3 - Article

SN - 0362-546X

VL - 74

SP - 6383

EP - 6386

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 17

ER -

On the Nagumo uniqueness theorem

Abstract

Keywords

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