<?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%">OCTAVIA-MARIA BOLOJAN</style></author><author><style face="normal" font="default" size="100%">RADU PRECUP</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">HYBRID DELAY EVOLUTION SYSTEMS WITH NONLINEAR CONSTRAINTS</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%">34K30</style></keyword><keyword><style  face="normal" font="default" size="100%">35K90</style></keyword><keyword><style  face="normal" font="default" size="100%">47J35</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%">09/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/27/4/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">27</style></volume><pages><style face="normal" font="default" size="100%">18</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;Motivated by the importance of reaction-diffusion systems in modeling&amp;nbsp;real processes with memory, we are interested in the existence of mild solutions&amp;nbsp;for systems of abstract delay evolution equations subjected to general nonlinear constraints.&amp;nbsp;Wishing to allow the system nonlinearities to behave independently as much&amp;nbsp;as possible, we use a vector approach based on matrices, vector-valued norms and a&amp;nbsp;vector version of Krasnoselskii’s fixed point theorem for a sum of two operators. The&amp;nbsp;hybrid character of the systems comes from the different nature of the metrical and&amp;nbsp;topological conditions imposed to the component equations. Also, the assumptions&amp;nbsp;are put in connection with the support of the nonlinear constraints. Two examples&amp;nbsp;are given to illustrate the theory.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">773</style></section></record></records></xml>