A degree theory for a class of perturbed Fredholm maps II
In a recent paper we gave a notion of degree for a class of perturbations of nonlinear Fredholm maps of index zero between real infinite dimensional Banach spaces. Our purpose here is to extend that notion in order to include the degree introduced by Nussbaum for local Open image in new window -condensing perturbations of the identity, as well as the degree for locally compact perturbations of Fredholm maps of index zero recently defined by the first and third authors.
KeywordsDifferential Geometry Computational Biology Degree Theory
- 4.Benevieri P, Furi M: A Degree theory for locally compact perturbations of Fredholm maps in Banach spaces. to appear in Abstract and Applied AnalysisGoogle Scholar
- 10.Efendiev MA: On a new variant degree theory of mapping and its application. In World Congress of Nonlinear Analysts '92, Vol. I–IV (Tampa, Fla, 1992). de Gruyter, Berlin; 1996:111–123.Google Scholar
- 13.Kuratowski C: Topologie. Vol. I, Monografie Matematyczne. Volume 20. 4th edition. Państwowe Wydawnictwo Naukowe, Warsaw; 1958:xiii+494.Google Scholar
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