Abstract:
A coincidence of classes to linear approximations that provide the properties of asymptotic and particular instabilities (of three types separately: Lyapunov, Perron, and upper-limit) of the zero solution to a non-one-dimensional differential system is proved.
Key words:differential system, nonlinear system, linear approximation, stability at the first approximation, Lyapunov stability, Perron stability, upper-limit stability.
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