Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 138, pp. 1-11.

Title: Convergence of solutions for a fifth-order nonlinear
       differential equation

Authors: Olufemi Adeyinka Adesina (Obafemi Awolowo Univ., Nigeria)
         Awar Simon Ukpera        (Obafemi Awolowo Univ., Nigeria)

Abstract: 
 In this paper, we present sufficient conditions for all solutions of
 a fifth-order nonlinear differential equation to converge. In this context,
 two solutions converge to each other if their difference and those of their
 derivatives up to order four approach zero as time approaches infinity.
 The nonlinear functions involved are not necessarily differentiable,
 but satisfy certain increment ratios that lie in the closed
 sub-interval of the Routh-Hurwitz interval.

Submitted Submitted May 7, 2007. Published October 17, 2007.
Math Subject Classifications: 34D20.
Key Words: Convergence of solutions; nonlinear fifth order equations;
           Routh-Hurwitz interval; Lyapunov functions.