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Fifth International Conference on Dynamic Systems and Applications
May 30 - June 2, 2007
Morehouse College
Atlanta, Georgia, USA

Organizers
M. Sambandham, Morehouse College, IFNA

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New Results on the Convergence of Solutions of a Certain Fifth Order Nonlinear Ordinary Differential Equation.
by
Olufemi Adeyinka Adesina
Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria. 220005

This paper studies the convergence of solutions of the nonlinear equation
x(v)+f1(x(iv))+f2(x''')+f3(x")+g(x')+h(x) = p(t, x, x', x", x"', x(iv))
where the functions f1, f2, f3, g, h and p are continuous in their respective arguments. Here, the nonlinear functions are not necessarily required to be differentiable.
Key words: convergence of solutions; nonlinear fifth order equations; Routh-Hurwitz interval; Lyapunov functions.


2000 Mathematics Subject Classifications : 34D20, 34C11.

Date received: March 13, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cauj-54.