<?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%">SMAIL DJEBALI</style></author><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author><author><style face="normal" font="default" size="100%">ZAHIRA SAHNOUN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE SOLVABILITY OF SOME OPERATOR EQUATIONS AND INCLUSIONS IN BANACH SPACES WITH THE WEAK TOPOLOGY</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%">OPERATOR EQUATIONS AND INCLUSIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45D05</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword><keyword><style  face="normal" font="default" size="100%">47H30</style></keyword><keyword><style  face="normal" font="default" size="100%">47J05</style></keyword><keyword><style  face="normal" font="default" size="100%">54C60.</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%">01/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/1/10.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%">140</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;The aim of this paper is to present some existence results regarding operator equation and operator inclusions in some Banach spaces endowed with the weak topology. The results complement those obtained in [19, 20, 21, 22]. The Schauder-Tychonov fixed point is used with the weak measure of noncompactness. Applications to Volterra integral equations and inclusions are also provided.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">125</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%">SMAIL DJEBALI</style></author><author><style face="normal" font="default" size="100%">OUIZA SAIFI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">UPPER AND LOWER SOLUTION METHOD FOR SINGULAR φ−LAPLACIAN BVPS WITH DERIVATIVE DEPENDING NONLINEARITY ON [0, +∞)</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%">SINGULAR φ−LAPLACIAN BVPS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword><keyword><style  face="normal" font="default" size="100%">34B40</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/4/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">480</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p align=&quot;justify&quot;&gt;
This article is concerned with the existence of positive solutions for a class of singular φ−Laplacian boundary value problems posed on the half-line. The nonlinearity depends on the solution and its derivative, and may exhibit a space-singularity at the origin. Some existence results are proved using the upper and lower solution technique in a special Banach space. The onlinearity
obeys sign and growth conditions with respect to the unknown. The singularity is treated by approximation and truncation.
&lt;/p&gt;</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">463</style></section></record></records></xml>