Tunç, E. 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. Cited in 1 Document MSC: 34D05 Asymptotic properties of solutions to ordinary differential equations 34D20 Stability of solutions to ordinary differential equations Keywords:fourth-order nonlinear differential equation; Lyapunov second method; Routh-Hurwitz interval PDFBibTeX XMLCite \textit{E. Tunç}, Ukr. Mat. Zh. 62, No. 5, 714--721 (2010; Zbl 1224.34156) Full Text: DOI Link