阻尼剪切梁模型的指数稳定性及有关具有分布延迟项的经典Timoshenko系统的新事实

Q3 Mathematics

International Journal of Mathematics in Operational Research Pub Date : 2023-06-01 DOI:10.5539/jmr.v15n3p45

Innocent Ouedraogo, G. Bayili

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引用次数: 0

摘要

本文考虑了一个具有分布延迟项的Timoshenko型光束模型。如果分布延迟项足够小，我们利用Faedo-Galerkin近似和一些能量估计证明了解的全局存在性。在适当的假设条件下，证明了解的指数稳定性。该结果是通过引入合适的李亚普诺夫函数得到的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Exponential Stability for Damped Shear Beam Model and New Facts Related to the Classical Timoshenko System With a Distributed Delay Term

We consider in this manuscript a Timoshenko type beam model with a distributed delay term. If the distributed delay term is small enough, we prove the global existence of solutions by using the Faedo-Galerkin approximations together with some energy estimates. Under suitable assumptions, we prove exponential stability of the solution. This result is obtained by introducing a suitable Lyapounov function.

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来源期刊

International Journal of Mathematics in Operational Research Decision Sciences-Decision Sciences (all)

CiteScore

2.10

自引率

0.00%

发文量