<?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%">KARIMA MEBARK</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SINGULAR SEMI-POSITONE φ-LAPLACIAN BVP ON INFINITE INTERVAL 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%">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%">47H07</style></keyword><keyword><style  face="normal" font="default" size="100%">47H08</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.acadsol.eu/dsa/articles/25/12.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">25</style></volume><pages><style face="normal" font="default" size="100%">21</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;In this work, we have obtained new existence results of unbounded positive solutions for a second-order φ-Laplacian equation subject to nonlinear integral boundary conditions of Riemann-Stieltjes type and posed on the positive half-line. The index fixed point theory on cones of Banach spaces for countably strict set-contractions has been employed. The nonlinearity depends on the solution and its derivative, may change sign, and has time and space singularities in its arguments. It further takes values in a general Banach space and is assumed to have quite general growth conditions. We have illustrated our theoretical results with two examples of application in a finite and in an infinite dimensional space, respectively.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">197</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%">SAMIRA ZAHAR</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">BOUNDED SOLUTIONS FOR A DERIVATIVE DEPENDENT BOUNDARY VALUE PROBLEM ON THE HALF-LINE</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%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">34B40</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%">2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/19/38-DSA-266.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;This paper is devoted to the existence of bounded solutions to a nonlinear secondorder boundary value problem on the positive half-line where the nonlinearity depends on the first derivative. We employ topological degree theory combined with the method of upper and lower solutions on compact domains to prove existence of solution on truncated domains. Solutions are then extended to unbounded domains using sequential arguments. A uniqueness result is also obtained and two illustrative examples end the paper.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">545</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%">ABDELHAMID BENMEZAÏ</style></author><author><style face="normal" font="default" size="100%">SMAIL DJEBALI</style></author><author><style face="normal" font="default" size="100%">TOUFIK MOUSSAOUI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE RESULTS FOR ONE-DIMENSIONAL DIRICHLET φ-LAPLACIAN BVPS: A FIXED POINT APPROACH</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%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">34b18</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/17/DSA-2007-149-166.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">17</style></volume><pages><style face="normal" font="default" size="100%">18</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 aim of this paper is to present new existence results for φ-Laplacian Dirichlet boundary value problems set on bounded intervals of the real line. The fixed point theory approach and continuation methods are used throughout. Generalizations of some previous results regarding second-order differential equations are obtained.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">149</style></section></record></records></xml>