2017
Том 69
№ 9

All Issues

On the convergence of solutions of certain inhomogeneous fourth-order differential equations

Tunç E.

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Abstract

The main purpose of this paper is to give sufficient conditions for the convergence of solutions of a certain class of fourth-order nonlinear differential equations using Lyapunov’s second method. Nonlinear functions involved are not necessarily differentiable, but a certain incrementary ratio for a function h lies in a closed subinterval of the Routh–Hurwitz interval.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 5, pp 824-833.

Citation Example: Tunç E. On the convergence of solutions of certain inhomogeneous fourth-order differential equations // Ukr. Mat. Zh. - 2010. - 62, № 5. - pp. 714–721.

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