Root functions of boundary eigenvalue operator functions

DOI10.1007/BF01195009zbMath0635.47012MaRDI QIDQ1097486

Reinhard Mennicken, Manfred Möller

Publication date: 1986

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

boundary value problemFredholm operatormatrix-valued functionholomorphic operator functionconstruct a biorthogonal canonical systems of root functions

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Boundary value problems in the complex plane (30E25) (Semi-) Fredholm operators; index theories (47A53) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Ordinary differential operators (34L99) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (8)

Boundary value problems associated with multiple roots of the characteristic equation ⋮ Spectral analysis of a non‐homogeneous rotating Timoshenko beam ⋮ Multiple expansions in series of eigen- and associated functions of boundary eigenvalue problems nonlinearly dependent on the spectral parameter. I ⋮ Expansion theorems for Birkhoff-regular differential-boundary operators ⋮ Mixed order systems of ordinary linear differential equations ⋮ Characteristic Matrices and Spectral Properties of Evolutionary Systems ⋮ Equivalence of boundary eigenvalue operator functions and their characteristic matrix functions ⋮ Analytic equivalence of the boundary eigenvalue operator function and its characteristic matrix function

Cites Work

• Root functions, eigenvectors, associated vectors and the inverse of a holomorphic operator function
• Mathieu functions and spheroidal functions and their mathematical foundations. Further studies
• General Boundary Conditions for an Ordinary Linear Differential System
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