If we write the DE as...
(1)
... we observe that for the partial derivative has a singularity and the the Lipschitz aren't satisfied. As consequence of that the IVP...
, (2)
... has more that one solution, among them and ...
Kind regards
Hi Guys,
I'm trying to get my head around this whole Lipschitz condition business, and while I understand the principle, I'm having trouble understanding it mathematically. I have the example IVP:
y'(t) = t*sqrt(|y|)
Which with y(0) = 0, fails on IVP solvers. Apparently this can be explained in terms of a Lipschitz condition, but I haven't got a clue where to start proving it.
Any help would be greatly appreciated.
Thanks!