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Volume 29, Issue 3
Decay of a Transmission Problem with Memory and Time-varying Delay

Aissa Benseghir

DOI: 10.4208/jpde.v29.n3.1

J. Part. Diff. Eq., 29 (2016), pp. 161-174.

Published online: 2016-09

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  • Abstract
In this article we consider a transmission problem with memory in a bounded domain and varying delay term in the first equation. Under suitable assumptions on the weight of the damping and the weight of the delay, we show the exponential stability of the solution by introducing a suitable Lyaponov functional.
  • Keywords

Wave equation transmission problem varying delay term memory exponential stability

  • AMS Subject Headings

35B37, 35L55, 74D05, 93D15, 93D20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

aissa5919@yahoo.fr (Aissa Benseghir)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-29-161, author = {Benseghir , Aissa}, title = {Decay of a Transmission Problem with Memory and Time-varying Delay}, journal = {Journal of Partial Differential Equations}, year = {2016}, volume = {29}, number = {3}, pages = {161--174}, abstract = { In this article we consider a transmission problem with memory in a bounded domain and varying delay term in the first equation. Under suitable assumptions on the weight of the damping and the weight of the delay, we show the exponential stability of the solution by introducing a suitable Lyaponov functional.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v29.n3.1}, url = {http://global-sci.org/intro/article_detail/jpde/5086.html} }
TY - JOUR T1 - Decay of a Transmission Problem with Memory and Time-varying Delay AU - Benseghir , Aissa JO - Journal of Partial Differential Equations VL - 3 SP - 161 EP - 174 PY - 2016 DA - 2016/09 SN - 29 DO - http://doi.org/10.4208/jpde.v29.n3.1 UR - https://global-sci.org/intro/article_detail/jpde/5086.html KW - Wave equation KW - transmission problem KW - varying delay term KW - memory KW - exponential stability AB - In this article we consider a transmission problem with memory in a bounded domain and varying delay term in the first equation. Under suitable assumptions on the weight of the damping and the weight of the delay, we show the exponential stability of the solution by introducing a suitable Lyaponov functional.
Benseghir , Aissa. (2016). Decay of a Transmission Problem with Memory and Time-varying Delay. Journal of Partial Differential Equations. 29 (3). 161-174. doi:10.4208/jpde.v29.n3.1
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