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General decay of energy to a nonlinear viscoelastic two-dimensional beam

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A viscoelastic beam in a two-dimensional space is considered with nonlinear tension. A boundary feedback is applied at the right boundary of the beam to suppress the undesirable vibration. The… Click to show full abstract

A viscoelastic beam in a two-dimensional space is considered with nonlinear tension. A boundary feedback is applied at the right boundary of the beam to suppress the undesirable vibration. The well-posedness of the problem is established. With the multiplier method, a uniform decay result is proven.

Keywords: decay energy; energy nonlinear; two dimensional; general decay; beam

Journal Title: Applied Mathematics and Mechanics
Year Published: 2018

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