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

作者：Erman Sertac^*; Demir Ali

来源：Open Mathematics, 2016, 14(1): 425-435.

DOI：10.1515/math-2016-0038

• Asymptotic stability
• state depended delay
• delay differential equation

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.

• 出版日期2016-6-23