Convergence of solutions for a fifth-order nonlinear differential equation
Date
2007-10-17
Authors
Adesina, Olufemi Adeyinka
Ukpera, Awar Simon
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Convergence of solutions, Nonlinear fifth order equations, Routh-Hurwitz interval, Lyapunov functions
Citation
Adesina, O. A., & Ukpera, A. S. (2007). Convergence of solutions for a fifth-order nonlinear differential equation. <i>Electronic Journal of Differential Equations, 2007</i>(138), pp. 1-11.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.