<?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%">MAREK T. MALINOWSKI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THE NARROWING SET-VALUED STOCHASTIC INTEGRAL EQUATIONS</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%">26E25</style></keyword><keyword><style  face="normal" font="default" size="100%">28B20</style></keyword><keyword><style  face="normal" font="default" size="100%">60G20</style></keyword><keyword><style  face="normal" font="default" size="100%">60H10</style></keyword><keyword><style  face="normal" font="default" size="100%">93C41</style></keyword><keyword><style  face="normal" font="default" size="100%">93E03</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/24/32-DSA-399-418.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">24</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We analyze set-valued stochastic integral equations whose solutions are mappings with values in the hyperspace of subsets of square integrable random vectors space. In this paper we give a new formulation of these equations resulting in a new property of solutions. Namely, the diameter of the solution values will be a nonincreasing function. Hence we call these equations “narrowing”. We prove a result on existence and uniqueness of the solution to the narrowing setvalued stochastic integral equations. We establish a boundedness type result for the solution and an error of an approximate solution. Also the continuous dependence of the solution with respect to data of the equation is shown.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">399</style></section></record></records></xml>