Electron. J. Diff. Eqns., Vol. 2007(2007), No. 138, pp. 1-11.

Convergence of solutions for a fifth-order nonlinear differential equation

Olufemi Adeyinka Adesina, Awar Simon Ukpera

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.

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Olufemi Adeyinka Adesina
Department of Mathematics, Obafemi Awolowo University
Ile-Ife, Nigeria
email: oadesina@oauife.edu.ng
Awar Simon Ukpera
Department of Mathematics, Obafemi Awolowo University
Ile-Ife, Nigeria
email: aukpera@oauife.edu.ng

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