Stability analysis of linear neutral integro-differential equations with variable delays

  • Mimia Benhadri Univ Skikda, P.O. Box 26, Skikda 21000, Algeria

Abstract

In this paper, we study the asymptotic stability of a linear neutral integro-differential equation with variable delays by using the fixed point theory. An asymptotic stability theorem with a necessary and sufficient condition is proved, which improves and generalizes some results due to Becker and Burton [4], Burton [10], Jin and Luo [20], and Cemil Tunç and I. Akbulut [29]. Finally, an example is exhibited to illustrate the effectiveness of the proposed results.

Published
2021-05-21