<?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%">WENYING FENG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A CLASS OF MAPS RELATED TO THE SEMILINEAR SPECTRUM AND APPLICATIONS</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%">SEMILINEAR SPECTRUM AND APPLICATION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39B22.</style></keyword><keyword><style  face="normal" font="default" size="100%">47H09</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</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/15/3/9.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%">380</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, the notion of (a, q)-L-stably solvable maps, where L is a closed Fredholm operator of index zero, is introduced. Closely related to the spectrum of semilinear operators, the class of (a, q)-L-stably solvable maps generalizes both (a, q)-stably solvable and the L-stably solvable maps that were defined previously. We prove properties for the new class of operators including the continuation principle and discuss eigenvalues. We also show its applications in the study of solvability of a nonlinear system.&lt;/div&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">372</style></section></record></records></xml>