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Volume 36, Issue 1
Stability of Viscoelastic Wave Equation with Structural $\delta$-Evolution in $\mathbb{R}^{n}$

A. Beniani, Kh. Zennir & Abbes Benaissa

Anal. Theory Appl., 36 (2020), pp. 89-98.

Published online: 2020-05

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  • Abstract

The aim of this paper is to study the Cauchy problem for the viscoelastic wave equation for structural $\delta$-evolution models. By using the energy method in the Fourier spaces, we obtain the decay estimates of the solution to considered problem.

  • AMS Subject Headings

35L05, 35B35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

a.beniani@yahoo.fr (A. Beniani)

k.zennir@qu.edu.sa (Kh. Zennir)

benaissa_abbes@yahoo.com (Abbes Benaissa)

  • BibTex
  • RIS
  • TXT
@Article{ATA-36-89, author = {Beniani , A.Zennir , Kh. and Benaissa , Abbes}, title = {Stability of Viscoelastic Wave Equation with Structural $\delta$-Evolution in $\mathbb{R}^{n}$}, journal = {Analysis in Theory and Applications}, year = {2020}, volume = {36}, number = {1}, pages = {89--98}, abstract = {

The aim of this paper is to study the Cauchy problem for the viscoelastic wave equation for structural $\delta$-evolution models. By using the energy method in the Fourier spaces, we obtain the decay estimates of the solution to considered problem.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2017-0066}, url = {http://global-sci.org/intro/article_detail/ata/16916.html} }
TY - JOUR T1 - Stability of Viscoelastic Wave Equation with Structural $\delta$-Evolution in $\mathbb{R}^{n}$ AU - Beniani , A. AU - Zennir , Kh. AU - Benaissa , Abbes JO - Analysis in Theory and Applications VL - 1 SP - 89 EP - 98 PY - 2020 DA - 2020/05 SN - 36 DO - http://doi.org/10.4208/ata.OA-2017-0066 UR - https://global-sci.org/intro/article_detail/ata/16916.html KW - Viscoelastic wave equation, Fourier transform, Lyapunov functions, Decay rates. AB -

The aim of this paper is to study the Cauchy problem for the viscoelastic wave equation for structural $\delta$-evolution models. By using the energy method in the Fourier spaces, we obtain the decay estimates of the solution to considered problem.

Beniani , A.Zennir , Kh. and Benaissa , Abbes. (2020). Stability of Viscoelastic Wave Equation with Structural $\delta$-Evolution in $\mathbb{R}^{n}$. Analysis in Theory and Applications. 36 (1). 89-98. doi:10.4208/ata.OA-2017-0066
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