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Blow-up of a nonlinear viscoelastic wave equation with distributed delay combined with strong damping and source terms

Abdelbaki Choucha, Djamel Ouchenane, Salah Boulaaras, S Boulaaras, A Choucha, D Ouchenane, B Cherif, A Rahmoune, D Ouchenane, S Boulaaras, B Cherif, A Zarai, A Draifia, S Boulaaras, S Berrimi, S Messaoudi, M Cavalcanti, D Cavalcanti, J Ferreira, M Cavalcanti, D Cavalcanti, P Filho, J Soriano, M Kafini, S Messaoudi, H Song, D Xue, H Song, C Zhong, K Zennir, L Guo, Z Yuan, G Lin, S Nicaise, C Pignotti

2020Journal of Nonlinear Functional Analysis31 citationsDOIOpen Access PDF

Abstract

In this paper, we are concerned with the problem of a nonlinear viscoelastic wave equation with distributed delay, strong damping and source terms. We obtain a blow-up result of solutions under suitable conditions.

Topics & Concepts

ViscoelasticityNonlinear systemPhysicsMechanicsAcousticsThermodynamicsQuantum mechanicsStability and Controllability of Differential EquationsVibration and Dynamic AnalysisNumerical methods for differential equations
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