EXPONENTIAL DECAY AND NUMERICAL SOLUTION FOR A TIMOSHENKO SYSTEM WITH DELAY TERM IN THE INTERNAL FEEDBACK

被引：0

作者：

Rapos, C. A. ^{[1
]}

Chuquipoma, J. A. D. ^{[1
]}

Avila, J. A. J. ^{[1
]}

Santos, M. L. ^{[2
]}

机构：

[1] Univ Fed Sao Joao del Rei, BR-36307352 Sao Joao Del Rei, MG, Brazil

[2] Fed Univ Parr, BR-36307352 Belem, Para, Brazil

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2013年 / 3卷 / 01期

关键词：

Timoshenko system; weak damping; exponential decay; delay;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we study the asymptotic behavior as t > Do of the solution for the Timoshenko system with delay term in the feedback. We use the semigroup theory for to prove the well-posedness of the system and for to establish the exponential stability. As far we know, there exist few results for problems with delay, where the asymptotic behavior is based on the GearhartHerbst-Pruss-Huang theorem to dissipative system. See [4],[5],[6]. Finally, we present numerical results of the solution of the system.

引用

页码：1 / 13

页数：13

共 14 条

[11] Exponential stability for the Timoshenko system with two weak dampings
Raposo, CA
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Santos, ML
Castro, NNO
[J]. APPLIED MATHEMATICS LETTERS, 2005, 18 (05) : 535 - 541
[12] A stability result of a Timoshenko system with a delay term in the internal feedback
Said-Houari, Belkacem
Laskri, Yamina
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (06) : 2857 - 2869
[13] Soufyane A., 2003, ELECTRON J DIFFER EQ, V29, P1
[14] Suh L. H, 1980, IEEE T AUTOMAT CONTR, V25, P600

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