A new result on the exponential stability of solutions of non-linear neutral type periodic systems with variable delay

Gözen M., Tunç C.

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, vol.16, no.2, pp.753-766, 2021 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 2
  • Publication Date: 2021
  • Journal Name: INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.753-766
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In this work, we consider a nonlinear time-varying delay system of neutral type differential equations with periodic coefficients and we obtain new sufficient conditions to ensure exponentially stability of zero solution of this system. The Lyapunov-Krasovskii functional approach is useful as a basic tool to prove the main general result of this paper.