TY - JOUR AU - Choucha, Abdelbaki AU - Ouchenane, Djamel AU - Zennir, Khaled PY - 2021/10/30 Y2 - 2024/03/29 TI - General Decay of Solutions in One-Dimensional Porous-Elastic with Memory and Distributed Delay Term JF - Tamkang Journal of Mathematics JA - Tamkang J. Math. VL - 52 IS - 4 SE - Papers DO - 10.5556/j.tkjm.52.2021.3519 UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/3519 SP - 479-495 AB - <div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span style="font-size: 10.000000pt; font-family: 'MinionPro-Regular-Identity-H';">As a continuity to the study by T. A. Apalarain[</span><span style="font-size: 10.000000pt; font-family: 'MinionPro-Regular-Identity-H'; color: rgb(100.000000%, 0.000000%, 0.000000%);">3</span><span style="font-size: 10.000000pt; font-family: 'MinionPro-Regular-Identity-H';">], 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 </span><span style="font-size: 10.000000pt; font-family: 'MinionPro-Regular-Identity-H'; color: rgb(0.000000%, 0.000000%, 100.000000%);">2.1</span><span style="font-size: 10.000000pt; font-family: 'MinionPro-Regular-Identity-H';">. </span></p></div></div></div> ER -