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Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.
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When is a set of coupled differential equations separable?
I have a set of variables $x_1, \ldots, x_n$ and $y_1,\ldots,y_m$ together with differential equations of the form
$$\frac{dx_i}{dt}= f_i(X,Y)$$
$$\frac{dy_i}{dt} =g_j(X,Y)$$
Is there a theory stating …