Convergence results for solutions of a certain fifth order nonlinear differential equations

Abstract

This paper is concerned with a certain fifth order nonlinear differential equation (1.1) in which the restoring function h is not necessarily differentiable but its incrementary ratio restricted to a certain closed sub-interval of the Routh-Hurwitz interval. Convergence results for the solutions of the equation (1.1) are proved with the aid of a suitable Lyapunov function.