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.