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

• Autorzy: Sertaç Erman , Ali Demir
• Języki publikacji: EN

Abstrakty

EN

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).$\tau (u(t)) = \frac{{a + bu(t)}}{{c + bu(t)}}.$ 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.

Słowa kluczowe

EN

Asymptotic stability; state depended delay; delay differential equation

Kategorie tematyczne

• 34K20: Stability theory
• 34K05: General theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 425-435

Daty

wydano

2016-01-01

otrzymano

2016-03-21

zaakceptowano

2016-05-30

online

2016-06-23

Twórcy

autor

Sertaç Erman

• Department of Mathematics, Kocaeli University, Umuttepe, 41380 Izmit-Kocaeli,

autor

Ali Demir

• Department of Mathematics, Kocaeli University, Umuttepe, 41380 Izmit-Kocaeli,

Identyfikatory

DOI

10.1515/math-2016-0038