TY - JOUR
T1 - A Stability Result for a Viscoelastic Wave Equation in the Presence of Finite and Infinite Memories
AU - Al-Mahdi, Adel M.
AU - Al-Gharabli, Mohammad M.
AU - Kafini, Mohammad
AU - Al-Omari, Shadi
N1 - Publisher Copyright:
© 2022 Adel M. Al-Mahdi et al.
PY - 2022
Y1 - 2022
N2 - In this study, we consider a viscoelastic wave equation in the presence of finite and infinite memories. Under suitable conditions on the variable coefficients and for a wide class of relaxation functions, we establish an explicit and general decay result. Moreover, we use a weaker boundedness condition, on the initial data than the one used in the literature. The proof of our decay result is based on the multiplier method together with some convexity arguments. This study generalizes and improves previous literature outcomes.
AB - In this study, we consider a viscoelastic wave equation in the presence of finite and infinite memories. Under suitable conditions on the variable coefficients and for a wide class of relaxation functions, we establish an explicit and general decay result. Moreover, we use a weaker boundedness condition, on the initial data than the one used in the literature. The proof of our decay result is based on the multiplier method together with some convexity arguments. This study generalizes and improves previous literature outcomes.
UR - http://www.scopus.com/inward/record.url?scp=85133400930&partnerID=8YFLogxK
U2 - 10.1155/2022/2697155
DO - 10.1155/2022/2697155
M3 - Article
AN - SCOPUS:85133400930
SN - 2314-4629
VL - 2022
JO - Journal of Mathematics
JF - Journal of Mathematics
M1 - 2697155
ER -