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

被引：0
作者：
Aissa Guesmia
机构：
[1] Université de Lorraine,Institut Elie Cartan de Lorraine, UMR 7502
来源：
Mediterranean Journal of Mathematics | 2017年 / 14卷
关键词：
Bresse system; infinite memory; asymptotic behavior; energy method; integral inequalities; 35B40; 35L45; 74H40; 93D20; 93D15;
D O I：
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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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[1]  
Alabau-Boussouira F(2011)Stability to weak dissipative Bresse system J. Math. Anal. Appl. 374 481-498
[2]  
Rivera JEM(2015)Stability and optimality of decay rate for weakly dissipative Bresse system Math. Methods Appl. Sci. 38 898-908
[3]  
Júnior DSA(2013)Decay rates for Bresse system with arbitrary nonlinear localized damping J. Differ. Equ. 255 2267-2290
[4]  
Alves MO(1970)Asymptotic stability in viscoelasticity Arch. Ration. Mech. Anal. 37 297-308
[5]  
Fatori LH(2015)Asymptotic behavior to Bresse system with past history Q. Appl. Math. 73 23-54
[6]  
Silva MAJ(2012)The optimal decay rate for a weak dissipative Bresse system Appl. Math. Lett. 25 600-604
[7]  
Monteiro RN(2010)Rates of decay to weak thermoelastic Bresse system IMA J. Appl. Math. 75 881-904
[8]  
Charles W(2008)Stability of Timoshenko systems with past history J. Math. Anal. Appl. 339 482-502
[9]  
Soriano JA(2011)Asymptotic stability of abstract dissipative systems with infinite memory J. Math. Anal. Appl. 382 748-760
[10]  
Nascimentoc FA(2015)Asymptotic behavior for coupled abstract evolution equations with one infinite memory Appl. Anal. 94 184-217
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