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Proving that a system of twelve ODEs satisfies Lipschitz condition


Oct 7, 2013
I need to know how I can prove the existence and uniqueness of a solution (using Lipschitz condition and well-posedness, stability analysis, etc.) for a system of 12 ordinary differential equations. I have the theorem that I need to use, but the number of calculations and work that I would have to do is absolutely enormous. I seriously don't know where to start.

Any help would be much appreciated!!