<?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%">John R. Graef</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Cemil Tunc</style></author><author><style face="normal" font="default" size="100%">Sebaheddin Sevgin</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">BEHAVIOR OF SOLUTIONS OF NONLINEAR FUNCTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS</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%">34K12 34K20</style></keyword><keyword><style  face="normal" font="default" size="100%">45D05</style></keyword><keyword><style  face="normal" font="default" size="100%">45M10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.acadsol.eu/dsa/articles/25/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">25</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><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;The authors consider the nonlinear functional Volterra integro-differential equation with multiple delays&lt;/p&gt;

&lt;p&gt;$$ x^{\prime}(t) = - a(t)x(t) + \sum_{i=1}^n \int_{t-\tau_i}^{t} b_i(t,s)f_i(x(s))ds. $$&lt;/p&gt;

&lt;p class=&quot;rtejustify&quot;&gt;They give sufficient conditions so that solutions are bounded, belong to $L^1$, or belong to $L^2$. They also prove the stability and global asymptotic stability of the zero solution. Their technique of proof involves defining appropriate Lyapunov functionals.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">39</style></section></record></records></xml>