C o m m u n .Fa c .S c i.U n iv .A n k .S e rie s A 1 Vo lu m e 6 3 , N u m b e r 2 , P a g e s 1 0 1 -1 0 7 (2 0 1 4 ) IS S N 1 3 0 3 -5 9 9 1 Abstract. Exponentially separated linear homogeneous system of ordinary di¤erential equations with continuous limited coe¢ cients in critical cases of Lyapunov exponents is considered. The generalized exponentially separated linear system of di¤erential equations with regard to a monotonically increasing function is de...ned. It is established that if a

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... linear homogeneous system of di¤erential equations is generalized exponentially separated, Lyapunov's generalized exponents are stable in a class of small perturbations.