Bresse system with infinite memories

descriptionPublicationkeyboard_double_arrow_right Article 08 Aug 2014 English Publisher:WileyJournal:Mathematical Methods in the Applied Sciences, volume 38, pages 2,389-2,402 (issn: 0170-4214,

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Authors: Guesmia, Aissa; Kafini, Mohammad;

doi: 10.1002/mma.3228

Bresse system with infinite memories

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Abstract

Summary: In this paper, we consider a one-dimensional linear Bresse system with infinite memories acting in the three equations of the system. We establish well-posedness and asymptotic stability results for the system under some conditions imposed into the relaxation functions regardless to the speeds of wave propagations.

Related Organizations

King Fahd University of Petroleum and Minerals
Saudi Arabia
University of Lorraine
France
University of Lorraine
France

Keywords

Asymptotic stability in control theory, infinite memory, well-posedness, Bresse system, Asymptotic behavior of solutions to PDEs, Stabilization of systems by feedback, Initial value problems for first-order hyperbolic systems, Long-time behavior of solutions for dynamical problems in solid mechanics, uniform decay

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