Strongly definitizable linear pencils in Hilbert space

DOI10.1007/BF01200290zbMath0794.47009MaRDI QIDQ1316479

Qiang Ye, A. A. Shkalikov, Peter Lancaster

Publication date: 10 April 1994

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

zbMATH Keywords

discrete spectrumboundary conditions dependent on the eigenvalue parameterselfadjoint linear pencilsstability of a linear second order initial-boundary value problemstrongly definitizable

Mathematics Subject Classification ID

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) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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Cites Work

• On the theory of selfadjoint quadratic bundles of operators
• Boundary problems for ordinary differential equations with parameter in the boundary conditions
• Definitizable Hermitian matrix pencils
• On root vectors of self-adjoint pencils
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