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

Sheng Fan

Mathematical Problems in Engineering, 2021, vol. 2021, 1-11

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5571072

DOI: 10.1155/2021/5571072

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