Asymptotic Stability of Bresse System with One Infinite Memory in the Longitudinal Displacements

被引：23
作者：
Guesmia, Aissa [1 ]
机构：
[1] Univ Lorraine, Inst Elie Cartan Lorraine, UMR 7502, Bat A,Ile Saulcy, F-57045 Metz 01, France
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 02期
关键词：
Bresse system; infinite memory; asymptotic behavior; energy method; integral inequalities; DECAY-RATE; BEHAVIOR; RATES;
D O I：
10.1007/s00009-017-0877-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The asymptotic stability of one-dimensional linear Bresse systems under infinite memories was proved by Guesmia and Kafini (Math Methods Appl Sci 38: 2389-2402, 2015) under three infinite memories, Guesmia and Kirane (Z Angew Math Phys 67: 1-39, 2016) under two infinite memories, and De Lima Santos et al. (Q Appl Math 73: 23-54, 2015) under one infinite memory acting on the shear angle displacements. The subject of this paper is to complete these results by proving that the asymptotic stability of Bresse systems holds also under one infinite memory acting on the longitudinal displacements.
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页数：19
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