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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain


Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

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Existence and General Decay Estimates for a Petrovsky-Petrovsky Coupled System with Nonlinear Strong Damping

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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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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