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


Erman S., DEMİR A.

OPEN MATHEMATICS, cilt.14, ss.425-435, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 14
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1515/math-2016-0038
  • Dergi Adı: OPEN MATHEMATICS
  • Sayfa Sayıları: ss.425-435

Özet

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.