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Results tagged with cauchy-problem
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user 520333
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$C^{k,\alpha}$ dependence of ODE solutions on initial data
I faced such a question. Consider the Cauchy problem for an ODE:
$$
\begin{cases}
y'=F(t,y)\\ y(0)=y_0.
\end{cases}
$$ Assume $F$ has the regularity $C^{k,\alpha}$ (i.e. it has partial derivatives of …