An analysis on the stability of a state dependent delay differential equation

Erman S., DEMİR A.

OPEN MATHEMATICS, vol.14, pp.425-435, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14
  • Publication Date: 2016
  • Doi Number: 10.1515/math-2016-0038
  • Journal Name: OPEN MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.425-435
  • Kocaeli University Affiliated: Yes


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 iota (u(t)) = a+bu(t )/c+du(t ). Moreover, we put the some restrictions for the positivity of delay term iota (u(t)). Based on the boundedness of delay term, we obtain stability criterion in terms of the parameters of the equation.