A general Lipschitz uniqueness criterion for scalar ordinary differential equations

A general Lipschitz uniqueness criterion for scalar ordinary differential equations

The classical Lipschitz-type criteria guarantee unique solvability of the scalar initial value problem $\dot x=f(t,x)$, $x(t_0)=x_0,$ by putting restrictions on $|f(t,x)-f(t,y)|$ in dependence of $|x-y|$. Geometrically it means that the field differences are estimated in the direction of the $x$-axi...

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Bibliographic Details
Main Authors: Josef Diblik, Christine Nowak, Stefan Siegmund
Format: Article
Language:English
Published: University of Szeged 2014-07-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
fundamental theory of ordinary differential equations
initial value problems
uniqueness
lipschitz type conditions
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3021

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3021

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