<?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%">WILSON LAMB</style></author><author><style face="normal" font="default" size="100%">ADAM  MCBRIDE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A DISTRIBUTIONAL APPROACH TO FRAGMENTATION EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45K05</style></keyword><keyword><style  face="normal" font="default" size="100%">46F05</style></keyword><keyword><style  face="normal" font="default" size="100%">47D06</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/4/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">10</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;We consider a linear integro-differential equation that models multiple fragmentation with inherent mass-loss. A systematic procedure is presented for constructing a space of generalised functions Z′ in which initial-value problems involving singular initial conditions such as the Dirac delta distribution can be analysed. The procedure makes use of results on sun dual semigroups and quasi-equicontinuous semigroups on locally convex spaces. The existence and uniqueness of a distributional solution to an abstract version of the initial-value problem are established for any given initial data &lt;em&gt;u&lt;sub&gt;0&lt;/sub&gt;&lt;/em&gt; in Z′ .&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">511</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%">TED CLARKE</style></author><author><style face="normal" font="default" size="100%">GISELE RUIZ GOLDSTEIN</style></author><author><style face="normal" font="default" size="100%">JEROME A. GOLDSTEIN</style></author><author><style face="normal" font="default" size="100%">SILVIA ROMANELLI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THE WENTZELL TELEGRAPH EQUATION: ASYMPTOTICS AND CONTINUOUS DEPENDENCE ON THE BOUNDARY CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">THE WENTZELL TELEGRAPH EQUATION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B30.</style></keyword><keyword><style  face="normal" font="default" size="100%">35B40</style></keyword><keyword><style  face="normal" font="default" size="100%">47D06</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/3/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">324</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;Solutions of the telegraph equation in many unbounded domains are shown to be asymptotically equal to solutions of the corresponding heat equation. This works for many boundary conditions, including general Wentzell boundary conditions. Continuous dependence on the boundary conditions is also shown.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">313</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%">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;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">477</style></section></record></records></xml>