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The control of Timoshenko beams by memory-type boundary conditions

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ABSTRACT In this paper, we consider a Timoshenko system subject to viscoelastic damping acting on a part of the boundary. We use a general assumption on the relaxation function and… Click to show full abstract

ABSTRACT In this paper, we consider a Timoshenko system subject to viscoelastic damping acting on a part of the boundary. We use a general assumption on the relaxation function and establish explicit energy decay result from which we can recover the optimal exponential and polynomial rates. Our result generalizes the earlier related results in the literature.

Keywords: timoshenko beams; control timoshenko; boundary conditions; type boundary; memory type; beams memory

Journal Title: Applicable Analysis
Year Published: 2019

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