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