A generalized version of the Birkhoff-Kellogg theorem

DOI10.1016/0022-247X(87)90235-6zbMath0618.47051WikidataQ96744864 ScholiaQ96744864MaRDI QIDQ1822341

Wojciech Kryszewski

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvectordegreecompact operatornonlinear eigenvaluetangent vector fieldBirkhoff-Kellogg theoremPoincaré-Bohl theoremadmissible topological vector spaceeivenvaluesflat neighborhoodgeneralized Leray-Schauder index theory

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Related Items (1)

Leggett-Williams type theorems with applications to nonlinear differential and integral equations

Cites Work

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• Mappings and spaces
• Zum Abbildungsgrad in Hausdorffschen topologischen Vektorräumen
• Nonlinear eigenvalue problems of Birkhoff-Kellogg type
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Degree of Mapping in Convex Linear Topological Spaces
• On Non-Negative Functional Transformations

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