Open AccessUniform 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].