General decay rate for a viscoelastic wave equation with distributed delay and Balakrishnan-Taylor damping

Abdelbaki Choucha; Salah Boulaaras; Djamel Ouchenane

doi:10.1515/math-2021-0108

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General decay rate for a viscoelastic wave equation with distributed delay and Balakrishnan-Taylor damping

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General decay rate for a viscoelastic wave equation with distributed delay and Balakrishnan-Taylor damping

Abdelbaki Choucha, Salah Boulaaras and Djamel Ouchenane

Open mathematics (Warsaw, Poland), Vol.19(1), pp.1120-1133

18/10/2021

DOI: https://doi.org/10.1515/math-2021-0108

Abstract

35B40

35L70

76Exx

93D20

distributed delay term

energy method

exponential decay

viscoelastic term

wave equation

A nonlinear viscoelastic wave equation with Balakrishnan-Taylor damping and distributed delay is studied. By the energy method we establish the general decay rate under suitable hypothesis.

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Title: General decay rate for a viscoelastic wave equation with distributed delay and Balakrishnan-Taylor damping
Creators - without role: Abdelbaki Choucha - University of Eloued
Salah Boulaaras - Qassim University
Djamel Ouchenane - University of Laghouat
Publication Details: Open mathematics (Warsaw, Poland), Vol.19(1), pp.1120-1133
Publisher: De Gruyter
Number of pages: 14
Identifiers: 9928141408331
Academic Unit: Qassim University
Language: English
Resource Type: Journal article