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Journal of Applied Nonlinear Dynamics 10(4) (2021) 645--657 | DOI:10.5890/JAND.2021.12.005

Abderrahmane Beniani$^1$, Noureddine Bahri$^2$, Khaled Zennir$^3$

$^1$ Laboratory ACEDP, Center University of Belhadj Bouchaib, B.P. 284 RP, Ain Temouchent 46000

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Abstract

In this paper, we consider a coupled system of Petrovsky-Petrovsky equations with nonlinear dissipative terms. We proved the existence and stability of solution to the coupled system (1) under some assumptions (7)-(9) based on the work [1]. The approach adopted is the Faedo-Galerkin method. Furthermore, by applying the multiplier method and some weighted integral inequalities, we strictly proved the decay properties (23).

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