Timeline for Forcing the uniqueness of a solution of an ODE
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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Sep 9, 2022 at 17:24 | vote | accept | G. Panel | ||
Sep 8, 2022 at 23:09 | history | became hot network question | |||
Sep 8, 2022 at 17:44 | answer | added | Iosif Pinelis | timeline score: 8 | |
Sep 8, 2022 at 16:08 | answer | added | Christophe Leuridan | timeline score: 7 | |
Sep 8, 2022 at 16:06 | comment | added | Giorgio Metafune | If you separate the variables and integrate you get $x=\int_0^{y} \frac{ds}{f_n(s)}:=G_n(y)$. By dominate convergence $G_n(y) \to 2 \sqrt y$ uniformly in bounded intervals and then $y_n(x)=G_n^{-1}(x) \to x^2/4$ at least pointwise. To get uniform convergence you can trap $\sqrt y \leq f_n \leq \sqrt y+\epsilon_n$ and proceed as before, I guess. | |
Sep 8, 2022 at 15:23 | history | edited | G. Panel | CC BY-SA 4.0 |
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Sep 8, 2022 at 15:04 | history | asked | G. Panel | CC BY-SA 4.0 |