<?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%">BAPURAO C. DHAGE</style></author><author><style face="normal" font="default" size="100%">SHYAM B. DHAGE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">DIFFERENTIAL INEQUALITIES AND COMPARISON THEOREMS FOR NONLINEAR FIRST ORDER VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">26D10</style></keyword><keyword><style  face="normal" font="default" size="100%">34A12</style></keyword><keyword><style  face="normal" font="default" size="100%">34A40</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%">http://www.acadsol.eu/en/articles/19/2/10.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%">20</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 paper, some fundamental results concerning the strict and nonstrict integrodifferential inequalities, existence and existence of the maximal and minimal solutions and comparison theorems are proved for a first order hybrid intero-differential equation with a linear perturbations of second type under some natural conditions. Our results include the well-known results of Lakshmikantham and Rama Mohana Rao (1995) on integro-differential equations as spacial cases. The realization of our main existence result is also illustrated with a couple of numerical examples.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">287</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%">BAPURAO C. DHAGE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GLOBAL EXISTENCE AND CONVERGENCE ANALYSIS FOR HYBRID DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K10</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%">http://www.acadsol.eu/en/articles/19/3/9.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%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper some fundamental results concerning the global existence, convergence theorem and continuous dependence on the initial data are proved for the nonlinear hybrid differential equations with a linear perturbation of second type via applications of differential inequalities with a comparison principle. The results of this paper are complementary to the work presented in a recent papers of Dhage and Jadhav (2013) and Dhage (2014).&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">439</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%">BAPURAO C. DHAGE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON SOLVABILITY OF OPERATOR INCLUSIONS x ∈ Ax Bx + Cx IN BANACH ALGEBRAS AND DIFFERENTIAL INCLUSIONS</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 INCLUSIONS IN BANACH ALGEBRAS AND DIFFERENTIAL INCLUSIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A60</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/14/4/11.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%">596</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;In this paper, some hybrid fixed point theorems concerning the operator inclusions x ∈ Ax Bx + Cx in a Banach algebra are proved. They are applied to some first order ordinary differential inclusions of initial and boundary value problems for proving the existence theorems under mixed Lipschitz and compactness type conditions. Our results includes the multi-valued hybrid fixed point theorems of Dhage [1, 2, 3] as special cases.&lt;/div&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%">567</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%">BAPURAO C. DHAGE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FIRST ORDER FUNCTIONAL INTEGRO-DIFFERENTIAL INCLUSIONS WITH PERIODIC 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%">A FUNCTIONAL INTEGRO-DIFFERENTIAL INCLUSION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A60.</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</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%">01/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/1/8.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%">92</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;In this paper, an existence theorem for a first order functional integro-differential inclusion in Banach algebras with the periodic boundary conditions is proved via a new fixed point principle of Leray-Schauder type under generalized Lipschitz and Carath ́eodory conditions. An existence theorem for the extremal solutions is also obtained under certain monotonicity conditions.&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%">71</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%">BAPURAO C. DHAGE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE RESULTS FOR SECOND ORDER HYPERBOLIC PARTIAL DIFFERENTIAL INCLUSIONS INVOLVING DISCONTINUOUS MULTIFUNCTIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35L20</style></keyword><keyword><style  face="normal" font="default" size="100%">35L70</style></keyword><keyword><style  face="normal" font="default" size="100%">35R70</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%">http://www.acadsol.eu/en/articles/12/3/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">19</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 present paper studies the existence results for the second order hyperbolic partial differential inclusions in the nonconvex case and without assuming any kind of the continuity conditions on the multi-valued functions. The existence of the extremal solutions is also established under certain monotonicity conditions.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">321</style></section></record></records></xml>