Stability of linear impulsive neutral delay differential equations with constant coefficients

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:479

Article

Yenicerioglu, Ali Fuat¹ 

[1] Kocaeli Univ, Fac Educ, TR-41380 Kocaeli, Turkey

关键词: Neutral delay differential equation;    Characteristic equation;    Asymptotic behavior;    Stability;   

DOI  :  10.1016/j.jmaa.2019.07.049

来源: Elsevier

【 摘 要 】

In this article, we have developed a new method regarding asymptotic behavior and stability for the solutions of first order linear impulsive neutral delay differential equations with constant coefficients and constant delays. The asymptotic behavior of the solutions and the stability of the zero solution were investigated using a real root suitable for the characteristic equation. Furthermore, we obtained similar results for impulsive delay differential equations. Finally, three examples are given for the stability of the zero solution of the impulsive neutral delay differential equation. (C) 2019 Published by Elsevier Inc.

【 授权许可】

Free