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-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1515/math-2016-0038
  • Dergi Adı: OPEN MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.425-435
  • Kocaeli Üniversitesi Adresli: Evet

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.