On the Periodic Solutions of Certain Fifth Order Nonlinear Vector Differential Equations

Abstract

The purpose of this paper is to show that under some sufficient conditions of equation (1.1) have no periodic solution other than the trivial solution X=0. Namely, we improve some well-known periodic results for certain fifth order nonlinear vector differential equations.

Keywords: Nonlinear vector differential equation of fifth, Lyapunov function, Periodic solutions.