On boundedness, square integrability and uniform stability for neutral non autonomous third order differential equations with delay

In the study of the solutions for a given class of neutral third order differential equations with delay, a suitable conditions are given based on the Lyapunov second method by considering convenable Lyapunov functional to guarantee the uniform asymptotic stability, the boundedness and the square integrability.

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Publication Details

Journal
Mathematica Bohemica
Published
2024-11-08
DOI
https://doi.org/10.21136/mb.2024.0001-24
Primary Topic
Numerical methods for differential equations
Type
article
Field-Weighted Citation Impact
0.00
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article

On boundedness, square integrability and uniform stability for neutral non autonomous third order differential equations with delay

Mebrouk Rahmane, Fatima Abdellaoui
Mathematica Bohemica
Numerical methods for differential equations
article

On boundedness, square integrability and uniform stability for neutral non autonomous third order differential equations with delay

Mebrouk Rahmane, Fatima Abdellaoui
article en

Abstract

In the study of the solutions for a given class of neutral third order differential equations with delay, a suitable conditions are given based on the Lyapunov second method by considering convenable Lyapunov functional to guarantee the uniform asymptotic stability, the boundedness and the square integrability.

Mathematica BohemicaVol. 150(2)
Openalex Percentile: Top 69%
Numerical methods for differential equations
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On boundedness, square integrability and uniform stability for neutral non autonomous third order differential equations with delay — Mebrouk Rahmane, Fatima Abdellaoui · Mathematica Bohemica (2024) | TGRS Research Map | TGRS