Timeline for Differential equations and axiom of choice

8 events

when toggle format	what		by	license	comment
Jan 22, 2013 at 22:01	history	edited	François G. Dorais		edited tags
Nov 13, 2012 at 15:56	vote	accept	Feldmann Denis
Nov 13, 2012 at 15:56	vote	accept	Feldmann Denis
Nov 13, 2012 at 15:56
Nov 13, 2012 at 15:55	vote	accept	Feldmann Denis
Nov 13, 2012 at 15:56
Nov 12, 2012 at 21:46	answer	added	Pietro Majer		timeline score: 11
Nov 12, 2012 at 21:20	comment	added	Bazin		The Cauchy-Lipschitz theorem in french or in any other language is dealing with the case where $f$ is locally Lipschitz continuous with respect to $x$, i.e. satisfies an estimate of type $$ \vert f(t,x_1)-f(t,x_2)\vert\le \alpha(t) \vert x_1-x_2\vert, $$ with $\alpha \in L^1_{loc}$. In that case, local uniqueness occurs for the ODE.
Nov 12, 2012 at 19:34	comment	added	user5810		I though the ODE theorem for when $f$ is such that there is no local unicity, was the $\hspace{.5 in}$ en.wikipedia.org/wiki/Peano_existence_theorem (in English).
Nov 12, 2012 at 17:34	history	asked	Feldmann Denis	CC BY-SA 3.0