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Results tagged with uniqueness-theorems
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user 6101
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Is the converse of Osgood criterion for ODEs also true?
If for $c>0$ one has $b:=\int_0^c\frac{dx}{f(x)}<\infty$, the function $v(s):=\int_0^s\frac{dx}{f(x)}$ is an increasing homeo $[0,c]\to[0,b]$ with derivative $v'(s)= {1}/{f(s)}$ for $0<s<b$, so the in …
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