Spectral problems for systems of differential equations y '+A(0)y = lambda A(1)y with lambda-polynomial boundary conditions

Tretter, Christiane (2000) Spectral problems for systems of differential equations y '+A(0)y = lambda A(1)y with lambda-polynomial boundary conditions. MATHEMATISCHE NACHRICHTEN, 214. pp. 129-172. ISSN 0025-584X, 1522-2616

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Abstract

This paper deals with the spectral properties of boundary eigenvalue problems for systems of first order differential equations y' + A(0)y = lambda A(1)y with boundary conditions which depend on the spectral parameter polynomially. It is not assumed that Al is injective or surjective. The main results concern the completeness, minimality and Riesz basis properties of the corresponding eigenfunctions and associated functions.

Item Type: Article
Uncontrolled Keywords: boundary eigenvalue problems; lambda-dependent boundary conditions; completeness; minimality; Fourier series expansions; Riesz basis
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 31 May 2022 09:32
Last Modified: 31 May 2022 09:32
URI: https://pred.uni-regensburg.de/id/eprint/43034

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