In this paper, we present an analysis for the stability of a differential equation with state-dependent delay. We establish existence and uniqueness of solutions of differential equation with delay term [...] τ(u(t))=a+bu(t)c+bu(t). Moreover, we put the some restrictions for the positivity of delay term τ(u(t)) Based on the boundedness of delay term, we obtain stability criterion in terms of the parameters of the equation.
@article{bwmeta1.element.doi-10_1515_math-2016-0038,
author = {Serta\c c Erman and Ali Demir},
title = {An analysis on the stability of a state dependent delay differential equation},
journal = {Open Mathematics},
volume = {14},
year = {2016},
pages = {425-435},
zbl = {1353.34088},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0038}
}
Sertaç Erman; Ali Demir. An analysis on the stability of a state dependent delay differential equation. Open Mathematics, Tome 14 (2016) pp. 425-435. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0038/