An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations

An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations

We suggest the construction of an oriented coincidence index for nonlinear Fredholm operators of zero index and approximable multivalued maps of compact and condensing type. We describe the main properties of this characteristic, including applications to coincidence points. An example arising in th...

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Main Authors: Valeri Obukhovskii, Pietro Zecca, Victor Zvyagin
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA/2006/51794
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spelling doaj-69b3a9a7b645442c87398e2cb96902812020-11-25T00:36:22ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092006-01-01200610.1155/AAA/2006/5179451794An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbationsValeri Obukhovskii0Pietro Zecca1Victor Zvyagin2Faculty of Mathematics, Voronezh University, Voronezh 394006, RussiaDiparimento di Energetica S. Stecco, Universita' di Firenze, Firenze 50139, ItalyFaculty of Mathematics, Voronezh University, Voronezh 394006, RussiaWe suggest the construction of an oriented coincidence index for nonlinear Fredholm operators of zero index and approximable multivalued maps of compact and condensing type. We describe the main properties of this characteristic, including applications to coincidence points. An example arising in the study of a mixed system, consisting of a first-order implicit differential equation and a differential inclusion, is given.http://dx.doi.org/10.1155/AAA/2006/51794
collection DOAJ
language English
format Article
sources DOAJ
author Valeri Obukhovskii
Pietro Zecca
Victor Zvyagin
spellingShingle Valeri Obukhovskii
Pietro Zecca
Victor Zvyagin
An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations
Abstract and Applied Analysis
author_facet Valeri Obukhovskii
Pietro Zecca
Victor Zvyagin
author_sort Valeri Obukhovskii
title An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations
title_short An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations
title_full An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations
title_fullStr An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations
title_full_unstemmed An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations
title_sort oriented coincidence index for nonlinear fredholm inclusions with nonconvex-valued perturbations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2006-01-01
description We suggest the construction of an oriented coincidence index for nonlinear Fredholm operators of zero index and approximable multivalued maps of compact and condensing type. We describe the main properties of this characteristic, including applications to coincidence points. An example arising in the study of a mixed system, consisting of a first-order implicit differential equation and a differential inclusion, is given.
url http://dx.doi.org/10.1155/AAA/2006/51794
work_keys_str_mv AT valeriobukhovskii anorientedcoincidenceindexfornonlinearfredholminclusionswithnonconvexvaluedperturbations
AT pietrozecca anorientedcoincidenceindexfornonlinearfredholminclusionswithnonconvexvaluedperturbations
AT victorzvyagin anorientedcoincidenceindexfornonlinearfredholminclusionswithnonconvexvaluedperturbations
AT valeriobukhovskii orientedcoincidenceindexfornonlinearfredholminclusionswithnonconvexvaluedperturbations
AT pietrozecca orientedcoincidenceindexfornonlinearfredholminclusionswithnonconvexvaluedperturbations
AT victorzvyagin orientedcoincidenceindexfornonlinearfredholminclusionswithnonconvexvaluedperturbations
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