<?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%">KAMEL ALI KHELIL</style></author><author><style face="normal" font="default" size="100%">ABDELOUAHEB ARDJOUNI</style></author><author><style face="normal" font="default" size="100%">AHCENE DJOUDI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STABILITY IN LINEAR NEUTRAL LEVIN-NOHEL INTEGRO-DIFFERENTIAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">LEVIN-NOHEL INTEGRO-DIFFERENTIAL EQUATIONS</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K20</style></keyword><keyword><style  face="normal" font="default" size="100%">34K30</style></keyword><keyword><style  face="normal" font="default" size="100%">34K40</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/1/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><isbn><style face="normal" font="default" size="100%">1083-2564</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we use the contraction mapping theorem to&amp;nbsp;obtain asymptotic stability results about the zero solution for the following&amp;nbsp;linear neutral Levin-Nohel integro-differential equation&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;$$x^{\prime}(t) +\int_{t-\tau}^t&amp;nbsp;a(t, s)x(s)ds + c(t)x^{\prime}(t -\tau&amp;nbsp;(t)) = 0.$$&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;An asymptotic stability theorem with a necessary and sufficient condition is&amp;nbsp;proved. In addition, the case of the equation with several delays is studied.&amp;nbsp;The results obtained here extend the work of Dung [14]. In the end we provide&amp;nbsp;an example to illustrate our claim.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">83</style></section></record></records></xml>