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2008 Exponential decay of Timoshenko systems with indefinite memory dissipation
Hugo D. Fernández Sare, Jaime E. Muñoz Rivera
Adv. Differential Equations 13(7-8): 733-752 (2008).

Abstract

We study the asymptotic behavior of Timoshenko systems with memory, where the memory is given by a non-dissipative kernel and is acting only on one equation of the system. We show that the exponential stability depends on conditions regarding the decay rate of the kernel and a nice relationship between the coefficients of the system. Moreover, with full-memory effect in the system, we will show exponential stability in the general case.

Citation

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Hugo D. Fernández Sare. Jaime E. Muñoz Rivera. "Exponential decay of Timoshenko systems with indefinite memory dissipation." Adv. Differential Equations 13 (7-8) 733 - 752, 2008.

Information

Published: 2008
First available in Project Euclid: 18 December 2012

zbMATH: 1173.35371
MathSciNet: MR2479028

Subjects:
Primary: 35Q74
Secondary: 35B35, 35B40, 47D06, 47N20

Rights: Copyright © 2008 Khayyam Publishing, Inc.

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Vol.13 • No. 7-8 • 2008
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