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

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

Author(s) -

Sheng Fan

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/5571072

Subject(s) - resolvent , type (biology) , boundary (topology) , wave equation , mathematical analysis , term (time) , character (mathematics) , boundary value problem , kernel (algebra) , mathematics , physics , quantum mechanics , pure mathematics , geometry , biology , ecology

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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