<?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;
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