Publicação: A TRANSMISSION PROBLEM FOR WAVES UNDER TIME-VARYING DELAY AND TIME-VARYING WEIGHTS
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Int Press Boston, Inc
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This manuscript focuses on in the transmission problem for one dimensional waves with time-varying weights on the frictional damping and time-varying delay. We prove global exis-tence of solutions using Kato's variable norm technique and we show the exponential stability by the energy method with the construction of a suitable Lyapunov functional.
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Transmission problem, Time-varying delay, Time-varying weights, Exponential stability
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Inglês
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Methods and Applications of Analysis. Somerville: Int Press Boston, Inc, v. 29, n. 3, p. 229-248, 2022.
