<?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%">JAN ANDRES</style></author><author><style face="normal" font="default" size="100%">LUISA MALAGUTI</style></author><author><style face="normal" font="default" size="100%">VALENTINA TADDEI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON BOUNDARY VALUE PROBLEMS IN BANACH SPACES</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%">34A60</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">34C25</style></keyword><keyword><style  face="normal" font="default" size="100%">47H09</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/18/22-DSA-118.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%">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;The paper deals with boundary value problems associated to first-order differential inclusions in Banach spaces. The solvability is investigated in the (strong) Carath´eodory sense on compact intervals. To this aim, we develop a general method that relies on degree arguments. This method is still combined with a bound sets technique for checking the behavior of trajectories in the neighborhood of a suitable parametric set of candidate solutions. On this basis, we obtain effective criteria for the existence of solutions of Floquet problems. The existence of entirely bounded solutions is also established by means of a sequence of solutions on compact increasing intervals.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">275</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%">JAN ANDRES</style></author><author><style face="normal" font="default" size="100%">LUISA MALAGUTI</style></author><author><style face="normal" font="default" size="100%">VALENTINA TADDEI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A BOUNDING FUNCTIONS APPROACH TO MULTIVALUED BOUNDARY VALUE PROBLEMS</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%">34A60</style></keyword><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2007</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/16/037-048-Andres.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">16</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The solvability of Floquet boundary value problems is investigated for upper-Carathéodory differential inclusions by means of strictly localized C&lt;sup&gt;2&lt;/sup&gt; -bounding functions. The existence of an entirely bounded solution is obtained in a sequential way. Our criteria can be regarded as a multivalued extension of recent results of Mawhin and Thompson concerning periodic and bounded solutions of Carath´eodory differential equations. A simple illustrating example is supplied. Keywords and phrases: Floquet boundary value problems, upper-Carathéodory differential inclusions, bounding functions, bounded solutions.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">37</style></section></record></records></xml>