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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA/2006/51794 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558802098978816 |
|---|---|
| author | Valeri Obukhovskii Pietro Zecca Victor Zvyagin |
| author_facet | Valeri Obukhovskii Pietro Zecca Victor Zvyagin |
| author_sort | Valeri Obukhovskii |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-69b3a9a7b645442c87398e2cb9690281 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-69b3a9a7b645442c87398e2cb96902812025-02-03T01:31:33ZengWileyAbstract 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 |
| spellingShingle | Valeri Obukhovskii Pietro Zecca Victor Zvyagin An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations Abstract and Applied Analysis |
| title | 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_short | 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 |
| 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 |