Equivalence of boundary eigenvalue operator functions and their characteristic matrix functions

DOI10.1007/BF01461723zbMath0613.47011OpenAlexW2091287632MaRDI QIDQ1819338

Manfred Möller, Reinhard Mennicken

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164322

zbMATH Keywords

boundary eigenvalue problemsabstract boundary eigenvalue operator functionboundary eigenvalue operator functionscharacteristic matrix functions

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) General theory of partial differential operators (47F05)

Related Items (2)

Linearization of boundary eigenvalue problems ⋮ An elliptic boundary value problem depending nonlinearly upon the eigenvalue parameter

Cites Work

• Analytic equivalence of the boundary eigenvalue operator function and its characteristic matrix function
• Root functions, eigenvectors, associated vectors and the inverse of a holomorphic operator function
• Root functions of boundary eigenvalue operator functions
• Spectral classification of operators and operator functions

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