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Timeline for Solving a differential system

Current License: CC BY-SA 3.0

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Oct 9, 2016 at 20:13 answer added Pietro Majer timeline score: 4
Oct 9, 2016 at 19:41 comment added CodeGolf @NawafBou-Rabee Yes. The aim is to solve the system, so we may add any suitable assumption right now.
Oct 9, 2016 at 19:03 comment added Nawaf Bou-Rabee Are the tails of $\mu$ heavier or lighter than Gaussian?
Oct 9, 2016 at 18:48 comment added CodeGolf Generally, $\mu$ is supported on the whole real line. And in order to solve the system, the density $x\mapsto \mu(x)$ is assumed to be smooth.
Oct 9, 2016 at 16:13 comment added Nawaf Bou-Rabee Is the support of $\mu$ over all reals? Please specify all of your assumptions on $\mu$. Once we establish existence/uniqueness of a solution then we can approximate these ODEs. But I don't see that the right hand side is regular enough without more assumptions on $\mu$.
Oct 9, 2016 at 15:49 comment added CodeGolf @NawafBou-Rabee Yes. Do you have some idea?
Oct 9, 2016 at 15:49 history edited CodeGolf CC BY-SA 3.0
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Oct 9, 2016 at 15:47 comment added CodeGolf I have reformulated my question. Here we assume that $\mu$ is regular enough.
Oct 9, 2016 at 13:12 comment added Nawaf Bou-Rabee The unknown functions in your ODE appear to be $\phi_{\pm}$. So I'm a bit confused by your question: how to specify the density $\mu$. In fact, it appears that $\mu$ is known or given or already specified.
Oct 8, 2016 at 20:22 history asked CodeGolf CC BY-SA 3.0