A quasicylindrical domain of a quasilinear manifold and the degree of a quasilinear mapping

A. G. Abbasov

Çanakkale Onsekiz Mart Üniversitesi, Biga Iktizadi ve Idari Bilimler Fakültesi, Çanakkale/Türkiye

Abstract: We introduce a quasicylindrical structure on $H_s(\mathbb{M,N})$), where $\partial\mathbb N\ne\varnothing$, define the degree of a Fredholm special quasilinear mapping on this domain, and establish the main property of the degree.

Keywords: quasicylindrical domain, Fredholm quasilinear manifold, Fredholm special quasilinear mapping, degree of a mapping.

UDC: 515.164

Received: 14.04.2014

 English version: Siberian Mathematical Journal, 2015, 56:1, 1–8

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