On the stability of the solutions of certain fifth order non-autonomous differential equations

A. I. Sadek

Mathematics Department, Faculty of Science, Assiut University, 71516 Assiut, Egypt

E-mail. sadeka1961@hotmail.com

Our aim in this paper is to present sufficient conditions under which all solutions of (1.1) tend to zero as $t \to \infty$.

AMSclassification. 34C, 34D.

Keywords.  Asymptotic stability, Lyapunov function, nonautonomous differential equations of fifth order.