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

• Published in: Український математичний журнал
• Date: 2010
• Main Author: Tunc, E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Subjects: Короткі повідомлення
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166158
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the convergence of solutions of certain inhomogeneous fourth-order differential equations / E. Tunc // Український математичний журнал. — 2010. — Т. 62, № 5. — С. 714–721. — Бібліогр.: 8 назв. — англ.

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...