Stability of linear impulsive neutral delay differential equations with constant coefficients


YENİÇERİOĞLU A. F.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.479, ss.2196-2213, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 479 Konu: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1016/j.jmaa.2019.07.049
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayısı: ss.2196-2213

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.