On some equivalence relations of differential equations
Sufficient conditions are formulated under which the solutions of systems \(\dot x=A(t)x+f(t,x)\) and \(\dot y=A(t)y\) are asymptotically equivalent for \(t\to +\infty\). The author generalizes theorems concerning asymptotic behaviour by Braner, Levinson and his own results about componentwise asymptotics on manifolds.
scientific article; zbMATH DE number 4134491