Abstract
A differential equation of the form x' = f(t, x) with the right part f(t, x) having continuous derivatives up to r-th order inclusive, 1-periodic in t, we identify with the function f and consider as an element of the Banach space Er of such functions with the Cr-norm. The equation f defines a dynamical system on a cylindrical phase space. An equation f is called rough if any equation close enough to it is topologically equivalent to f, that is, it has the same topological structure of the phase portrait. An
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Schedule a callMore From: Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics"
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