2017
Том 69
№ 9

All Issues

Critical cases of stability of one nonautonomous essentially nonlinear equation of the nth order

Vitrychenko I. E.

Full text (.pdf)


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.

Full text