We define the topologial coincidence degree for a pair of maps of Banach spaces: a linear Fredgholm operator L: E2→E2 of zero index L-completely restricting pseudo-acyclic multimap.
coincidence degree,Fredgholm operator, pseudo-acyclic multimap
1. Borisovich Yu.G., Gel´man B.D., Myshkis A.D., Obukhovskiy V.V. Tolologicheskie metody v teorii nepodvizhnykh tochek mnogoznachnykh otobrazheniy / UMN 35:1-1980. -S.59-126.
2. Borisovich Yu.G., Gel´man B.D., Myshkis A.D., Obukhovskiy V.V. Vvedenie v teoriyu mnogoznachnykh otobrazheniy i dpfferentsial´nykh vklyucheniy / 2 izd., -M:Librokom.
3. Kamenskii M., Obukhovskii V., Zecca P. Condensing multivalued maps and semilinear differential inclusions in Banach spaces / Walter de Gruyter, Berlin New York -2001.
4. Mawhin J. Topological degree method in nonlinear boundary value problems, American Mathematical Society, Providenst, 1979.