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• W2333042891 abstract "We study the exponential stability of the Timoshenko beam system by interiortime-dependent delay term feedbacks. The beam isclamped at the two hand points subject to two internal feedbacks: onewith a time-varying delay and the other without delay.Using the variable norm technique of Kato, it is proved that the system is well-posedwhenever an hypothesis between the weight of the delay term in the feedback,the weight of the term without delay and the wave speeds.By introducing an appropriate Lyapunov functional the exponential stability of the system is proved.Under the imposed constrain on the weights of thefeedbacks and the wave speeds, the exponential decay of the energy isestablished via a suitable Lyapunov functional." @default.
• W2333042891 created "2016-06-24" @default.
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• W2333042891 date "2010-12-01" @default.
• W2333042891 modified "2023-10-12" @default.
• W2333042891 title "Stability result for the Timoshenko system with a time-varying delay term in the internal feedbacks" @default.
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• W2333042891 doi "https://doi.org/10.3934/cpaa.2011.10.667" @default.
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