<?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%">FRANCESCO ALTOMARE</style></author><author><style face="normal" font="default" size="100%">VITA LEONESSA</style></author><author><style face="normal" font="default" size="100%">SABINA MILELLA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CORES FOR SECOND-ORDER DIFFERENTIAL OPERATORS ON REAL INTERVALS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35A35</style></keyword><keyword><style  face="normal" font="default" size="100%">41A36</style></keyword><keyword><style  face="normal" font="default" size="100%">47D06</style></keyword><keyword><style  face="normal" font="default" size="100%">47E05</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%">2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</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 investigate several general conditions in order to determine some cores for generators of strongly continuous positive semigroups of the form &lt;em&gt;Au := αu′′ &lt;/em&gt;on weighted spaces of continuous functions on an arbitrary noncompact real interval. As an application we consider a degenerate differential operator of the above mentioned form on the interval [0, +∞[ and we establish an approximation formula for the corresponding positive semigroup in terms of iterates of an integral modification of Szász-Mirakjan operators.&lt;/p&gt;
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