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About partial boundary dissipation to Timoshenko system with delay
Mathematical Methods in the Applied Sciences ( IF 2.1 ) Pub Date : 2020-06-26 , DOI: 10.1002/mma.6654
Elena Ochoa Ochoa 1 , Gerardo Gómez Ávalos 2 , Jaime E. Muñoz Rivera 1, 3
Affiliation  

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:

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。
更新日期:2020-06-26
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