Oleg Palumbíny

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The paper deals with a certain class of nonautonomous ordinary third-order nonlinear differential equations   y L y L y L t f y L 2 1 0 3 , , ,  with quasi-derivatives. A criterion of asymptotic stability in Liapunov sense as well as a criterion of instability in Liapunov sense is derived. The results are illustrated by two examples.
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