Spectral analysis for linear pencils N-lambda P of ordinary differential operators

Shkalikov, Andrey A. and Tretter, Christiane (1996) Spectral analysis for linear pencils N-lambda P of ordinary differential operators. MATHEMATISCHE NACHRICHTEN, 179 (1). pp. 275-305. ISSN 0025-584X, 1522-2616

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Abstract

Boundary eigenvalue problems for linear pencils N - lambda P of two ordinary differential operators are studied where P is of lower order than N. In a suitable scale of subspaces of Sobolev spaces and spaces of continuously differentiable functions results on minimality and basis properties of the eigenfunctions and associated functions are proved, including explicit formulas for the Fourier coefficients. As an application the Orr-Sommerfeld equation is considered.

Item Type: Article
Uncontrolled Keywords: boundary eigenvalue problems; Fourier expansions; Orr-Sommerfeld equation
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 15 Nov 2023 07:58
Last Modified: 15 Nov 2023 07:58
URI: https://pred.uni-regensburg.de/id/eprint/52106

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