文章基本信息

标题：The Exponential Stability Result of an Euler-Bernoulli Beam Equation with Interior Delays and Boundary Damping
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作者：Peng-cheng Han ; Yan-fang Li ; Gen-qi Xu 等
期刊名称：Journal of Difference Equations
印刷版ISSN：2356-7856
出版年度：2016
卷号：2016
DOI：10.1155/2016/3732176
出版社：Hindawi Publishing Corporation
摘要：We study the exponential stability of Euler-Bernoulli beam with interior time delays and boundary damping. At first, we prove the well-posedness of the system by the semigroup theory. Next we study the exponential stability of the system by constructing appropriate Lyapunov functionals. We transform the exponential stability issue into the solvability of inequality equations. By analyzing the relationship between delays parameters and damping parameters , we describe -region for which the system is exponentially stable. Furthermore, we obtain an estimation of the decay rate .