A linearization for a class of \(\lambda\)-nonlinear boundary eigenvalue problems

DOI10.1006/jmaa.2000.6777zbMath0959.34066OpenAlexW2060891142MaRDI QIDQ1576941

Christiane Tretter

Publication date: 22 April 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6777

zbMATH Keywords

linearizationOrr-Sommerfeld equationequivalence of differential operators\(\lambda\)-dependent boundary conditions

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07)

Related Items (4)

On equivalence and linearization of operator matrix functions with unbounded entries ⋮ Dynamic behavior of a one-dimensional wave equation with memory and viscous damping ⋮ On the numerical treatment of the eigenparameter dependent boundary conditions ⋮ Boundary eigenvalue problems for differential equations \(N\eta=\lambda P\eta\) with \(\lambda\)-polynomial boundary conditions

Cites Work

• Minimal factorization of matrix and operator functions
• Linearization of boundary eigenvalue problems
• Classes of linear operators. Vol. I
• Equivalence, linearization, and decomposition of holomorphic operator functions
• Linear operator pencils \(A-\lambda B\) with discrete spectrum
• Boundary eigenvalue problems for differential equations \(N\eta=\lambda P\eta\) with \(\lambda\)-polynomial boundary conditions
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