Stability of linear impulsive neutral delay differential equations with constant coefficients
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.479, pp.2196-2213, 2019 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 479
- Publication Date: 2019
- Doi Number: 10.1016/j.jmaa.2019.07.049
- Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.2196-2213
- Kocaeli University Affiliated: Yes
Abstract
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.