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A New General Decay Rate of Wave Equation with Memory-Type Boundary Control

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  • Sheng Fan

Abstract

Of interest is a wave equation with memory-type boundary oscillations, in which the forced oscillations of the rod is given by a memory term at the boundary. We establish a new general decay rate to the system. And it possesses the character of damped oscillations and tends to a finite value for a large time. By assuming the resolvent kernel that is more general than those in previous papers, we establish a more general energy decay result. Hence the result improves earlier results in the literature.

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  • Sheng Fan, 2021. "A New General Decay Rate of Wave Equation with Memory-Type Boundary Control," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-11, February.
    • Handle: RePEc:hin:jnlmpe:5571072
    DOI: 10.1155/2021/5571072
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