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OpenStudy (anonymous):
I have the following system of differential equations: \dot{x}=f(t_1,x,y,z) \dot{y}=g(t_2,x,y,z) \dot{z}=h(t_3,x,y,z) Al existence theorems I know are formulated such that t_1=t_2=t_3. Reading the proof of these theorems doesn't help much if you want to see their validity when these variables aren't equal...Does someone knows whether these theorems hold true when t_1 \neq t_2 \neq t_3? Any help/reference where to look for such theorem would be greatly appreciate it!
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