<?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%">Bouhoufani, Oulia</style></author><author><style face="normal" font="default" size="100%">Hamchi, Ilhem</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Correction to: Coupled System of Nonlinear Hyperbolic Equations with Variable-Exponents: Global Existence and Stability</style></title><secondary-title><style face="normal" font="default" size="100%">Mediterranean Journal of Mathematics</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2021</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2021</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://link.springer.com/article/10.1007/s00009-020-01648-7</style></url></web-urls></urls><number><style face="normal" font="default" size="100%">3</style></number><volume><style face="normal" font="default" size="100%">18</style></volume><pages><style face="normal" font="default" size="100%">1-2</style></pages><isbn><style face="normal" font="default" size="100%">1660-5454</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language></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%">Bouhoufani, Oulia</style></author><author><style face="normal" font="default" size="100%">Hamchi, Ilhem</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Coupled System of Nonlinear Hyperbolic Equations with Variable-Exponents: Global Existence and Stability (vol 17, 166, 2020)</style></title><secondary-title><style face="normal" font="default" size="100%">MEDITERRANEAN JOURNAL OF MATHEMATICS</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2021</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2021</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://link.springer.com/article/10.1007/s00009-020-01589-1</style></url></web-urls></urls><number><style face="normal" font="default" size="100%">3</style></number><volume><style face="normal" font="default" size="100%">18</style></volume><isbn><style face="normal" font="default" size="100%">1660-5446</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	In this paper, we consider a coupled system of two nonlinear hyperbolic equations with variable-exponents in the damping and source terms. Under suitable assumptions on the intial data and the variable exponents, we prove a global existence theorem, using the Stable-set method. Then, we establish a decay estimate of the solution energy, by Komornik’s integral approach.
&lt;/p&gt;
</style></abstract></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%">Messaoudi, Salim A</style></author><author><style face="normal" font="default" size="100%">Bouhoufani, Oulia</style></author><author><style face="normal" font="default" size="100%">Hamchi, Ilhem</style></author><author><style face="normal" font="default" size="100%">Alahyane, Mohamed</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Existence and blow up in a system of wave equations with nonstandard nonlinearities</style></title><secondary-title><style face="normal" font="default" size="100%">Electronic Journal of Differential Equations</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2021</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2021</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://ejde.math.txstate.edu/Volumes/2021/91/messaudi.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">91</style></volume><pages><style face="normal" font="default" size="100%">1–33</style></pages><isbn><style face="normal" font="default" size="100%">1072-6691</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	In this article, we consider a coupled system of two nonlinear hyperbolic equations, where the exponents in the damping and source terms are variables. First, we prove a theorem of existence and uniqueness of weak solution, by using the Faedo Galerkin approximations and the Banach fixed point theorem. Then, using the energy method, we show that certain solutions with positive initial energy blow up in finite time. We also give some numerical applications to illustrate our theoretical results.
&lt;/p&gt;
</style></abstract></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%">Bouhoufani, Oulia</style></author><author><style face="normal" font="default" size="100%">Hamchi, Ilhem</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Coupled System of Nonlinear HyperbolicEquations with Variable-Exponents: GlobalExistence and Stability</style></title><secondary-title><style face="normal" font="default" size="100%">Mediterr. J. Math</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2020</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://doi.org/10.1007/s00009-020-01589-1</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">17</style></volume><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">In this paper, we consider a coupled system of two nonlinearhyperbolic equations with variable-exponents in the damping and sourceterms. Under suitable assumptions on the intial data and the variableexponents, we prove a global existence theorem, using the Stable-setmethod. Then, we establish a decay estimate of the solution energy, byKomornik’s integral approach.</style></abstract><issue><style face="normal" font="default" size="100%">166</style></issue></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%">Bouhoufani, Oulia</style></author><author><style face="normal" font="default" size="100%">Hamchi, Ilhem</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Coupled System of Nonlinear Hyperbolic Equations with Variable-Exponents: Global Existence and Stability</style></title><secondary-title><style face="normal" font="default" size="100%">Mediterranean Journal of MathematicsMEDITERRANEAN JOURNAL OF MATHEMATICS</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2020</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2020</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">5</style></number><volume><style face="normal" font="default" size="100%">17</style></volume><pages><style face="normal" font="default" size="100%">1-15</style></pages><isbn><style face="normal" font="default" size="100%">1660-5454</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language></record></records></xml>