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

Mebrouk Rahmane; Moussadek Remili; Linda D. Oudjedi.

doi:10.52737/18291163-2019.11.10-1-17

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 — Updated on 2022-09-15

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

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Stability, Boundedness, and Square Integrability of Solutions of Neutral Fourth-Order Differential Equations. (2022). Armenian Journal of Mathematics, 11(10), 1-17. https://doi.org/10.52737/18291163-2019.11.10-1-17 (Original work published 2019)