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

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Ukrainian Mathematical Journal Aims and scope

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.

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Authors and Affiliations

  1. Gaziosmanpasha University, Tokat, Turkey

    E. Tunç

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  1. E. Tunç
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 5, pp. 714–721, May, 2010.

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Tunç, E. On the convergence of solutions of certain inhomogeneous fourth-order differential equations. Ukr Math J 62, 824–833 (2010). https://doi.org/10.1007/s11253-010-0393-8

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  • DOI: https://doi.org/10.1007/s11253-010-0393-8

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