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On the convergence of solutions of certain inhomogeneous fourth-order differential equations. (English) Zbl 1224.34156

Ukr. Mat. Zh. 62, No. 5, 714-721 (2010) and in Ukr. Math. J. 62, No. 5, 824-833 (2010).
Summary: 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. The 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.

MSC:

34D05 Asymptotic properties of solutions to ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
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