Decay of a Transmission Problem with Memory and Time-Varying Delay
Decay of a Transmission Problem with Memory and Time-Varying Delay作者机构:Universite Ferhat Abbas Setifl Algeria - Universite Via Domitia Perpignan France.
出 版 物:《Journal of Partial Differential Equations》 (偏微分方程(英文版))
年 卷 期:2016年第29卷第3期
页 面:161-174页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题:Wave equation transmission problem varying delay term memory exponentialstability.
摘 要: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 sta- bility of the solution by introducing a suitable Lyapunov functional.