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    Author(s)

    Mebrouk Rahmane, PhD. Moussadek Remili — Academia (Universities, Colleges and other higher learning entities) (University of Oran 1), PhD. Linda Oudjedi — Academia (Universities, Colleges and other higher learning entities) (University of Oran 1)
    Category: Mathematics
    DOI: 10.52737/18291163-2019.11.10-1-17
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      Stability, Boundedness, and Square Integrability of Solutions of Neutral Fourth-Order Differential Equations

      Mebrouk Rahmane, PhD. Moussadek Remili — Academia (Universities, Colleges and other higher learning entities) (University of Oran 1), PhD. Linda Oudjedi — Academia (Universities, Colleges and other higher learning entities) (University of Oran 1)
      This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

      Submitted: 2024-12-10; Published: 2022-09-15
      © 2025 by author(s) and The Gufo Inc.
      CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

      Abstract

      The purpose of this paper is to establish a new result, which guarantees the asymptotic stability and boundedness of the zero solution and the square integrability of solutions and their derivatives to neutral type nonlinear differential equations of fourth-order. We illustrate our results by an example at the end of the paper.

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