2019
Том 71
№ 11

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On stability of the trivial solution of a nonautonomous quasilinear system whose characteristic equation has multiple roots

Vitrychenko I. E.

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Abstract

For $t \uparrow \omega, \quad \omega \leq +\infty$, we obtain sufficient conditions for Lyapunov stability of the zero solution of a specific nonautonomous quasilinear differential system in the case where the matrix of the first-degree approximation has the Jordan form with triangular blocks. Methods to reduce certain classes of general differential systems to differential systems of special type are given.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 8, pp 1178-1187.

Citation Example: Vitrychenko I. E. On stability of the trivial solution of a nonautonomous quasilinear system whose characteristic equation has multiple roots // Ukr. Mat. Zh. - 1994. - 46, № 8. - pp. 1072–1079.

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