Stability of linear impulsive neutral delay differential equations with constant coefficients

Yeniçerioğlu, ALİ

doi:10.1016/j.jmaa.2019.07.049

Stability of linear impulsive neutral delay differential equations with constant coefficients

Atıf İçin Kopyala

Yeniçerioğlu A. F.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.479, ss.2196-2213, 2019 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 479
Basım Tarihi: 2019
Doi Numarası: 10.1016/j.jmaa.2019.07.049
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2196-2213
Kocaeli Üniversitesi Adresli: Evet

Özet

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.