If we have the initial value problem $$y’(t)=f(t,y(t))$$ $$y(t_0)=y_0$$ Then if $f$ is Lipschitz continuous with respect to the second variable, then the IVP has a unique solution
Does Cauchy Lipschitz theorem holds if $$y(t)=(y_1(t),...,y_m(t))$$ ?
2026-04-13 21:02:17.1776114137
Cauchy-Lipschitz theorem with multi-variables
100 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ORDINARY-DIFFERENTIAL-EQUATIONS
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