Decay of a Transmission Problem with Memory and Time-varying Delay

Decay of a Transmission Problem with Memory and Time-varying Delay

Year:    2016

Author:    Aissa Benseghir

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v29.n3.1

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 3 : pp. 161–174

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Wave equation

Author Details

Aissa Benseghir