Open AccessGeneral decay rate of a weakly dissipative viscoelastic equation with a general damping
Author(s) -
Khaleel Anaya,
Salim A. Messaoudi
Publication year - 2020
Publication title -
rocznik akademii górniczo-hutniczej im. stanisława staszica. opuscula mathematica/opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2020.40.6.647
Subject(s) - dissipative system , viscoelasticity , mathematics , relaxation (psychology) , nonlinear system , mathematical analysis , class (philosophy) , classical mechanics , physics , thermodynamics , quantum mechanics , psychology , social psychology , artificial intelligence , computer science
In this paper, we consider a weakly dissipative viscoelastic equation with a nonlinear damping. A general decay rate is proved for a wide class of relaxation functions. To support our theoretical findings, some numerical results are provided.