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

• Date: 2010
• Main Authors: Tunç, E., Тунс, Е.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2903
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...