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Stability, Boundedness, and Square Integrability of Solutions of Neutral Fourth-Order Differential Equations

Authors

Mebrouk Rahmane University of Adrar
Moussadek Remili University of Oran 1
Linda D. Oudjedi. University of Oran 1

DOI:

https://doi.org/10.52737/18291163-2019.11.10-1-17

Keywords:

Lyapunov Functional, Neutral Differential Equations of Fourth Order, Uniform Asymptotic Stability, Square Integrability

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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Published

2019-09-17

Versions

2022-09-15 (2)
2019-09-17 (1)

Issue

Vol. 11 No. 10 (2019): Stability, Boundedness, and Square Integrability of Solutions of Neutral Fourth-Order Differential Equations

Section

Articles

How to Cite

[1]

M. Rahmane, M. Remili, and L. D. Oudjedi., “Stability, Boundedness, and Square Integrability of Solutions of Neutral Fourth-Order Differential Equations”, Armen.J.Math., vol. 11, no. 10, pp. 1–17, Sep. 2019, Accessed: Jan. 22, 2025. [Online]. Available: https://armjmath.sci.am/index.php/ajm/article/view/265