<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MUHAMMAD I. MUSTAFA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GENERAL STABILITY IN MEMORY-TYPE THERMOELASTICITY WITH SECOND SOUND</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B37</style></keyword><keyword><style  face="normal" font="default" size="100%">35L55</style></keyword><keyword><style  face="normal" font="default" size="100%">74D05</style></keyword><keyword><style  face="normal" font="default" size="100%">93D15</style></keyword><keyword><style  face="normal" font="default" size="100%">93D20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/24/26-DSA-327-340.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">24</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we consider an n-dimentional thermoelastic system of second sound with viscoelastic damping. We establish an explicit and general decay rate result without imposing restrictive assumptions on the behavior of the relaxation function at infinity. Our result allows a larger class of ralxation functions and generalizes previous results existing in the literature.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">327</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BELKACEM SAID-HOUARI</style></author><author><style face="normal" font="default" size="100%">RADOUANE RAHALI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A STABILITY RESULT FOR A TIMOSHENKO SYSTEM WITH PAST HISTORY AND A DELAY TERM IN THE INTERNAL FEEDBACK</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B37</style></keyword><keyword><style  face="normal" font="default" size="100%">35L55</style></keyword><keyword><style  face="normal" font="default" size="100%">74D05</style></keyword><keyword><style  face="normal" font="default" size="100%">93D15</style></keyword><keyword><style  face="normal" font="default" size="100%">93D20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/20/23-DSA-754.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">27</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we consider a Timoshenko system with a delay term in the feedback and memory term. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove a well posedness result. Furthermore an exponential stability result has been shown if the weight of the damping is greater or equal to the weight of the delay. We distinguish two cases: the case where the weight of the delay is less than the weight of the damping and the case where the two weights are equal. In each case we introduce an appropriate Lyapunov functional which leads to an exponential stability. This result extends the one in [15] and the recent result in [23].&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">327</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SALIM A. MESSAOUDI</style></author><author><style face="normal" font="default" size="100%">MUHAMMAD I. MUSTAFA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A STABILITY RESULT IN A MEMORY-TYPE TIMOSHENKO SYSTEM</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B37</style></keyword><keyword><style  face="normal" font="default" size="100%">35L55</style></keyword><keyword><style  face="normal" font="default" size="100%">74D05</style></keyword><keyword><style  face="normal" font="default" size="100%">93D15</style></keyword><keyword><style  face="normal" font="default" size="100%">93D20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/18/32-DSA-170.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">18</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we consider the following Timoshenko system ϕtt − (ϕx + ψ)x = 0, (0, 1) × IR+ ψtt − ψxx + ϕx + ψ + Zt 0 g(t − τ)ψxx(τ)dτ = 0, (0, 1) × IR+ with Dirichlet boundary conditions where g is a positive nonincreasing function. We establish a generalized stability result for this system.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">457</style></section></record></records></xml>