Mathematica Bohemica, Vol. 150, No. 2, pp. 291-308, 2025
On boundedness, square integrability and uniform stability for neutral non autonomous third order differential equations with delay
Fatima Abdellaoui, Mebrouk Rahmane
Received January 2, 2024. Published online November 8, 2024.
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.
Keywords: asymptotic stability; square integrability; Lyapunov functional; non autonomous differential equation of third order with delay
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Affiliations: Fatima Abdellaoui, Mebrouk Rahmane (corresponding autor), Laboratory of Mathematics, Modelisation and Applications (LaMMA), University Ahmed Draia of Adrar, Adrar, Algeria, e-mail: abdellaouifatima11@gmail.com, meb.rahmane@univ-adrar.edu.dz
