Open AccessGeneral Decay of Solutions in One-Dimensional Porous-Elastic with Memory and Distributed Delay Term
Author(s) -
Abdelbaki Choucha,
Djamel Ouchenane,
Khaled Zennir
Publication year - 2021
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.52.2021.3519
Subject(s) - term (time) , mathematics , energy method , porous medium , energy (signal processing) , mathematical analysis , porosity , pure mathematics , physics , quantum mechanics , materials science , statistics , composite material
As a continuity to the study by T. A. Apalarain[3], we consider a one-dimensional porous-elastic system with the presence of both memory and distributed delay terms in the second equation. Using the well known energy method combined with Lyapunov functionals approach, we prove a general decay result given in Theorem 2.1.