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

Authors

  • Aissa Benseghir Université Ferhat Abbas Setif1 Algeria - Université Via Domitia Perpignan, France

DOI:

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

Keywords:

Wave equation;transmission problem;varying delay term;memory;exponential stability

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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Published

2016-09-05

Issue

Vol. 29 No. 3 (2016)

Section

Articles