Abstract and Applied Analysis 
Volume 2006 (2006), Article ID 51794, 21 pages
doi:10.1155/AAA/2006/51794

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

Valeri Obukhovskii,1 Pietro Zecca,2 and Victor Zvyagin1

 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

Abstract

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.