We consider the Timoshenko model with partial dissipative boundary condition with delay, and we prove that the solution decays exponentially to zero, provided the wave speed are equal; this improve earlier result due to Bassam et al and Muñoz Rivera and Naso. Moreover, consider the exponential stability to the corresponding semilinear problems.

中文翻译：

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关于具有延迟的Timoshenko系统的部分边界耗散

我们考虑具有时滞的部分耗散边界条件的Timoshenko模型，并且证明了在波速相等的情况下，该解呈指数衰减至零。由于Bassam等人以及MuñozRivera和Naso的缘故，这改善了较早的结果。此外，考虑相应半线性问题的指数稳定性。