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"Global nonexistence of solutions to system of Klein-Gordon equations with degenerate damping and strong source terms in viscoelasticity"

Fares Yazid, Djamel Ouchenane, Khaled Zennir, Department of Mathematics, Ferhat Abbas Setif 1 University, Setif, Algeria e-mail: fsmmath@yahoo.com", "Laboratory of Pure and Applied Mathematics, Amar Teledji University, Laghouat, Algeria e-mail: ouchenanedjamel@gmail.com", "Department of Mathematics, College of Sciences and Arts, Al-Ras, Qassim University, Buraydah, Kingdom of Saudi Arabia e-mail: k.zennir@qu.edu.sa"
2022 Studia Universitatis Babes-Bolyai Matematica  

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In this paper, we consider a system of nonlinear viscoelastic wave equations with degenerate damping and source terms. We prove, with positive initial energy, the global nonexistence of solution by concavity method.
doi:10.24193/subbmath.2022.3.08 fatcat:37l7rcinlfdmlisu7bummcruum
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Fares Yazid, Djamel Ouchenane, Khaled Zennir, Department of Mathematics, Ferhat Abbas Setif 1 University, Setif, Algeria e-mail: fsmmath@yahoo.com", "Laboratory of Pure and Applied Mathematics, Amar Teledji University, Laghouat, Algeria e-mail: ouchenanedjamel@gmail.com", "Department of Mathematics, College of Sciences and Arts, Al-Ras, Qassim University, Buraydah, Kingdom of Saudi Arabia e-mail: k.zennir@qu.edu.sa". ""Global nonexistence of solutions to system of Klein-Gordon equations with degenerate damping and strong source terms in viscoelasticity"." Studia Universitatis Babes-Bolyai Matematica 67.3 (2022) 563-578