Critical cases of stability of one nonautonomous essentially nonlinear equation of the nth order
Abstract
We establish sufficient conditions of the Lyapunov stability of the trivial solution of a nonautonomous ordinary differential equation of the nth order in the case where its characteristic equation has a multiple zero root. The stability is determined by nonlinear terms.
English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 5, pp 805-811.
Citation Example: Vitrychenko I. E. Critical cases of stability of one nonautonomous essentially nonlinear equation of the nth order // Ukr. Mat. Zh. - 1997. - 49, № 5. - pp. 720–724.
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