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

Salah Zitouni | Zendy; Khaled Zennir | Zendy; Lamine Bouzettouta | Zendy

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

Author(s) -

Salah Zitouni,

Khaled Zennir,

Lamine Bouzettouta

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1903961z

Subject(s) - viscoelasticity , mathematics , perturbation (astronomy) , wave equation , mathematical analysis , relaxation (psychology) , term (time) , energy method , energy (signal processing) , function (biology) , physics , statistics , quantum mechanics , thermodynamics , psychology , social psychology , evolutionary biology , biology

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].

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