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Asymptotic Behavior of Solutions in Nonlinear Neutral System with Two Volterra Terms

Author

Listed:
  • Mouataz Billah Mesmouli

    (Mathematics Department, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia)

  • Abdelouaheb Ardjouni

    (Department of Mathematics and Informatics, University of Souk-Ahras, P.O. Box 1553, Souk Ahras 41000, Algeria)

  • Hicham Saber

    (Mathematics Department, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia)

Abstract

In this manuscript, we generalise previous results in the literature by providing sufficient conditions for the matrix measure to guarantee the stability, asymptotic stability and exponential stability of a neutral system of differential equations. This is achieved by constructing a suitable operator from our system and applying the Banach fixed point theorem.

Suggested Citation

  • Mouataz Billah Mesmouli & Abdelouaheb Ardjouni & Hicham Saber, 2023. "Asymptotic Behavior of Solutions in Nonlinear Neutral System with Two Volterra Terms," Mathematics, MDPI, vol. 11(12), pages 1-9, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:12:p:2676-:d:1169615
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