Abstract and Applied Analysis
Volume 2006 (2006), Article ID 51794, 21 pages
An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations
1Faculty of Mathematics, Voronezh University, Voronezh 394006, Russia
2Diparimento di Energetica S. Stecco, Universita' di Firenze, Firenze 50139, Italy
Received 26 June 2005; Accepted 1 July 2005
Copyright © 2006 Valeri Obukhovskii et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.