Topological Methods for Nonlinear Fredholm Operators

The main aim of this thesis project was the search for the axiomatization of the topological degree for Fredholm operators of index zero through the generalized algebraic multiplicity introduced by Esquinas and Lopez-Gomez, sketching a parallelism with the classical Leray-Schauder theory and the cla...

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Detalles Bibliográficos
Autor: Sampedro Pascual, Juan Carlos
Tipo de recurso: tesis doctoral
Fecha de publicación:2024
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/102457
Acceso en línea:https://hdl.handle.net/20.500.14352/102457
Access Level:acceso abierto
Palabra clave:517.983.2(043.2)
Fredholm, Operadores de
Fredholm Operators
Ecuaciones diferenciales
1206.02 Ecuaciones Diferenciales
Descripción
Sumario:The main aim of this thesis project was the search for the axiomatization of the topological degree for Fredholm operators of index zero through the generalized algebraic multiplicity introduced by Esquinas and Lopez-Gomez, sketching a parallelism with the classical Leray-Schauder theory and the classical algebraic multiplicity...