Classification of convergence rates of solutions of perturbed ordinary differential equations with regularly varying nonlinearity

In this paper we consider the rate of convergence of solutions of a scalar ordinary differential equation which is a perturbed version of an autonomous equation with a globally stable equilibrium. Under weak assumptions on the nonlinear mean reverting force, we demonstrate that the convergence rate...

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Bibliographic Details
Main Authors: John Appleby, Denis Patterson
Format: Article
Language:English
Published: University of Szeged 2016-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4228