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Uniform decay for a viscoelastic wave equation with density and time-varying delay in Rn

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A linear viscoelastic wave equation with density and a time-varying delay term in the internal feedback is considered. Under suitable assumptions on the relaxation function, we establish a decay result… Click to show full abstract

A linear viscoelastic wave equation with density and a time-varying delay term in the internal feedback is considered. Under suitable assumptions on the relaxation function, we establish a decay result of solution for by using energy perturbation method in the space Rn (n > 2). We extend a recent result in Feng [10].

Keywords: time varying; density time; varying delay; equation density; viscoelastic wave; wave equation

Journal Title: Filomat
Year Published: 2019

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