2017
Том 69
№ 9

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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

We obtain sufficient conditions for the Lyapunov stability of the trivial solution of a nonautonomous differential system of a special form ast ? ?, ? ? + ?. For this system, the coefficient matrix of a differential system of the first approximation has almost Jordan form with triangular blocks. We indicate methods that enable one to reduce certain classes of differential systems of the general form to special differential systems.

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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