A general stability result for a nonlinear viscoelastic coupled Kirchhoff system with distributed delay

被引:0
作者
Tijani A. Apalara
Abdelaziz Soufyane
机构
[1] University of Hafr Al Batin (U oHB),Mathematics Department
[2] College of Sciences University of Sharjah,Department of Mathematics
来源
Afrika Matematika | 2022年 / 33卷
关键词
Kirchhoff system; General stability; Viscoelastic damping; Distributed delay; 34K20; 35G60;
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摘要
In this paper, we consider a nonlinear coupled Kirchhoff system with viscoelastic damping and a distributed delay. We established a general stability result, where an exponential result in the literature is only a particular case. We illustrate the stability result with some examples.
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[1]  
Nicaise AS(2008)Stabilization of the wave equation with boundary or internal distributed delay Differ. Int. Equ. 21 935-958
[2]  
Pignotti C(2009)Existence and uniform decay for a nonlinear viscoelastic equation with strong damping and nonlinear boundary memory damping term Dyn. Sys. Appl. 18 605-31
[3]  
Park JY(2020)Global existence combined with general decay of solutions for coupled Kirchhoff system with a distributed delay term Racsam Rev. R Acad. A 114 1-1506
[4]  
Kim JA(2005)Asymptotic behavior for a nonlinear viscoelastic problem with a velocity-dependent material density Int. J. Math. Math. Sci. 10 1497-156
[5]  
Doudi N(1986)An example on the effect of time delays in boundary feedback stabilization of wave equations SIAM J. Control. Optim. 24 152-793
[6]  
Boulaaras S(2008)Exponential and polynomial decay for a quasilinear viscoelastic equation Nonlinear. Anal. Theory Methods Appl. 68 785-830
[7]  
Tatar NE(2014)Well-posedness and exponential stability for a linear damped Timoshenko system with second sound and internal distributed delay Electron. J. Differ. Equ 254 15-undefined
[8]  
Datko R(2016)Uniform decay in weakly dissipative Timoshenko system with internal distributed delay feedbacks Acta Math. Sci. 36 815-undefined
[9]  
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[10]  
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