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Results tagged with uniqueness-theorems
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Existence and uniqueness of solutions for continuous and directionally differentiable ODE
No. Consider $x'=g(x,y)$, $y'=h(x,y)$. If we take $g(x,y)=2|x|^{1/2}$ for $y=x^2$ similarly $h=4|x|^{3/2}$ on $y=x^2$, then we
can check directly that $x=t^2$, $y=t^4$, $t\ge 0$, and $x=y=0$ are solut …
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