<?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%">RAFFAELE CHIAPPINELLI</style></author><author><style face="normal" font="default" size="100%">MASSIMO FURI</style></author><author><style face="normal" font="default" size="100%">MARIA PATRIZIA PERA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A NEW THEME IN NONLINEAR ANALYSIS: CONTINUATION AND BIFURCATION OF THE UNIT EIGENVECTORS OF A PERTURBED LINEAR OPERATOR</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%">CONTINUATION AND BIFURCATION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47A55</style></keyword><keyword><style  face="normal" font="default" size="100%">47J05</style></keyword><keyword><style  face="normal" font="default" size="100%">47J10</style></keyword><keyword><style  face="normal" font="default" size="100%">47J15</style></keyword><keyword><style  face="normal" font="default" size="100%">47J30</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/15/3/3.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%">312</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;We review some recent results concerning nonlinear eigenvalue problems of the form (∗) Au + eB(u) = δu, where A is a linear Fredholm operator of index zero (with nontrivial kernel Ker A) acting in a real Banach space X, and B : X → X is a (possibly) nonlinear perturbation term. We seek solutions u of (∗) in the unit sphere S of X, and the emphasis is put on the existence - under appropriate conditions on B - of points u 0 ∈ S ∩ Ker A (thus satisfying (∗) for e = δ = 0) which either can be continued as solutions of (∗) for e = 0 or - more generally - are bifurcation points for solutions of that kind.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">299</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%">MASSIMO FURI</style></author><author><style face="normal" font="default" size="100%">MARIA PATRIZIA PERA</style></author><author><style face="normal" font="default" size="100%">MARCO SPADINI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PERIODIC SOLUTIONS OF RETARDED FUNCTIONAL PERTURBATIONS OF AUTONOMOUS DIFFERENTIAL EQUATIONS ON MANIFOLDS</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%">PERIODIC SOLUTIONS OF RETARDED FUNCTIONAL. . .</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K13</style></keyword><keyword><style  face="normal" font="default" size="100%">34K18.</style></keyword><keyword><style  face="normal" font="default" size="100%">58F32</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/15/3/10.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%">394</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;Inspired by [1] and [10] we apply the topological tools of fixed point index and of degree of a tangent vector field to the study of the set of harmonic solutions to periodic perturbations of autonomous ODEs on (smooth) boundaryless differentiable manifolds, allowing the perturbation to contain a distributed, possibly infinite, delay. In order to do so, we construct a Poincar ́e-type T-translation operator on an appropriate function space and, in the unperturbed case, prove a formula for its fixed point index in terms of the degree of the autonomous vector field.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">381</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%">PIERLUIGI BENEVIERI</style></author><author><style face="normal" font="default" size="100%">MASSIMO FURI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE UNIQUENESS OF THE DEGREE FOR NONLINEAR FREDHOLM MAPS OF INDEX ZERO BETWEEN BANACH MANIFOLDS</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%">ON THE UNIQUENESS OF THE DEGREE...</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47A53</style></keyword><keyword><style  face="normal" font="default" size="100%">47H11</style></keyword><keyword><style  face="normal" font="default" size="100%">58Cxx.</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%">04/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/2/6.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%">216</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 some previous papers we presented a fairly simple construction of a topological degree for C&lt;sup&gt;1&lt;/sup&gt; Fredholm maps of index zero between Banach manifolds which verifies the three fundamental properties of the classical degree theory: normalization, additivity and homotopy invariance. We show here that this degree is unique. Precisely, by an axiomatic approach similar to the one due to Amann-Weiss, we prove that there exists at most one real function satisfying the above properties, and this function must be integer valued.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">203</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%">PIERLUIGI BENEVIERI</style></author><author><style face="normal" font="default" size="100%">ALESSANDRO CALAMAI</style></author><author><style face="normal" font="default" size="100%">MASSIMO FURI</style></author><author><style face="normal" font="default" size="100%">MARIA PATRIZIA PERA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FAST FORCED OSCILLATIONS FOR CONSTRAINED MOTION PROBLEMS WITH DELAY</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C40</style></keyword><keyword><style  face="normal" font="default" size="100%">34K13</style></keyword><keyword><style  face="normal" font="default" size="100%">70K42</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%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/4.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%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We show that a global continuation result for &lt;em&gt;T&lt;/em&gt; -periodic solutions of delay differential equations on manifolds proved by the authors in a previous paper still holds when the period&lt;em&gt; T&lt;/em&gt; is smaller than the delay. As an application we get an existence result for fast forced oscillations of motion problems with delay on compact, topologically nontrivial, manifolds.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">497</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%">ALESSANDRO CALAMAI</style></author><author><style face="normal" font="default" size="100%">MASSIMO FURI</style></author><author><style face="normal" font="default" size="100%">ALFONSO VIGNOLI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">AN OVERVIEW ON SPECTRAL THEORY FOR NONLINEAR OPERATORS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H14</style></keyword><keyword><style  face="normal" font="default" size="100%">47J05</style></keyword><keyword><style  face="normal" font="default" size="100%">47J10</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%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/4/5.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%">26</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We compare different spectral theories for nonlinear operators, focusing in particular on the notion of spectrum at a point recently introduced by the authors. We discuss the main properties of the nonlinear spectrum and present illustrating applications and examples.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">509</style></section></record></records></xml>