A criterion of asymptotic convergence for a class of nonlinear differential, equations with delay

Authors
Diblik, J
Citation
J. Diblik, A criterion of asymptotic convergence for a class of nonlinear differential, equations with delay, NONLIN ANAL, 47(6), 2001, pp. 4095-4106
Citations number
20
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
6
Year of publication
2001
Part
6
Pages
4095 - 4106
Database
ISI
SICI code
0362-546X(200108)47:6<4095:ACOACF>2.0.ZU;2-T
Abstract
The nonlinear scalar differential equation with delay of the form (y) over dot (t) = beta (t)g (y(t) - y(t - tau (t))) with positive function beta and odd, increasing function g, satisfying a gr owing condition, is considered. A criterion of asymptotic convergence of al l solutions, corresponding to the initial point t(0), is established.