Armenian Journal of Mathematics, 11(10)
2022; 1–17
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Stability, Boundedness, and Square Integrability of Solutions of Neutral Fourth-Order Differential Equations

Mebrouk Rahmane*, Moussadek Remili, Linda Oudjedi

Received: 2024-12-11 · Published: 2022-09-15

© 2022 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Stability, Boundedness, and Square Integrability of Solutions of Neutral Fourth-Order Differential Equations
Authors
Mebrouk Rahmane, Moussadek Remili, Linda Oudjedi
Source journal
Armenian Journal of Mathematics, 11(10)
Published
2022-09-15
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2019.11.10-1-17

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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