Exponential Stability of the Wave Equation with Memory and Time Delay

被引：31

作者：

Alabau-Boussouira, Fatiha ^{[1
,2
]}

Nicaise, Serge ^{[3
]}

Pignotti, Cristina ^{[4
]}

机构：

[1] Univ Lorraine, LMAM, F-57045 Metz 1, France

[2] CNRS, UMR 7122, F-57045 Metz 1, France

[3] Univ Valenciennes & Hainaut Cambresis, Inst Sci & Tech Valenciennes, FR CNRS 2956, LAMAV, F-59313 Valenciennes 9, France

[4] Univ Aquila, Dipartimento Ingn & Sci Informaz & Matemat, I-67010 Laquila, Italy

来源：

NEW PROSPECTS IN DIRECT, INVERSE AND CONTROL PROBLEMS FOR EVOLUTION EQUATIONS | 2014年 / 10卷

关键词：

EVOLUTION-EQUATIONS; STABILIZATION; BOUNDARY; VISCOELASTICITY; FEEDBACKS; SYSTEMS; ENERGY;

D O I：

10.1007/978-3-319-11406-4_1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the asymptotic behaviour of the wave equation with viscoelastic damping in presence of a time-delayed damping. We prove exponential stability if the amplitude of the time delay term is small enough.

引用

页码：1 / 22

页数：22

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