Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 201, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2020.112019
Keywords
Schauder formula; Fredholm paths; Leray-Schauder degree; Degree of Fitzpatrick; Pejsachowicz and Rabier; Generalized algebraic multiplicity
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Funding
- Spanish Ministry of Science, Technology and Universities [PGC2018-097104-B-100]
- Institute of Interdisciplinar Mathematics of Complutense University, Spain
- Basque Country Government, Spain [PRE2019_1_0220]
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This paper tries to establish a link between topological and algebraic methods in nonlinear analysis showing how the topological degree for Fredholm operators of index zero of Fitzpatrick et al. (1994) can be determined from the generalized algebraic multiplicity of Esquinas and Lopez-Gomez (1988, 2001), in the same vein as the Leray-Schauder degree can be calculated from the Schauder formula through the classical algebraic multiplicity. (C) 2020 Elsevier Ltd. All rights reserved.
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