Boundary value problems with eigenvalue depending boundary conditions

DOI10.1002/mana.200610763zbMath1177.47088OpenAlexW2100419578MaRDI QIDQ3627945

Jussi Behrndt

Publication date: 13 May 2009

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200610763

zbMATH Keywords

Krein spaceboundary value problemWeyl functionboundary tripletlocally definitizable functionlocally definitizable operator and relation

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Linear relations (multivalued linear operators) (47A06) Linear operators on spaces with an indefinite metric (47B50)

Related Items (12)

Eigenvalues of discrete Sturm-Liouville problems with eigenparameter dependent boundary conditions ⋮ Spectral properties of a fourth-order eigenvalue problem with quadratic spectral parameters in a boundary condition ⋮ Locally Definitizable Operators: The Local Structure of the Spectrum ⋮ Realization of nonstrict matrix Nevanlinna functions as Weyl functions of symmetric operators in Pontryagin spaces ⋮ Elliptic boundary value problems with \(\lambda \)-dependent boundary conditions ⋮ On spectral properties of dissipative fourth order boundary-value problem with a spectral parameter in the boundary condition ⋮ On the completeness of eigenfunctions of a discontinuous Dirac operator with an eigenparameter in the boundary condition ⋮ On the negative squares of a class of self‐adjoint extensions in Krein spaces ⋮ Irregular boundary value problems revisited ⋮ Eigenvalues of a linear fourth-order differential operator with squared spectral parameter in a boundary condition ⋮ Eigenvalues of discrete Sturm-Liouville problems with nonlinear eigenparameter dependent boundary conditions ⋮ On Some Class of Self-adjoint Boundary Value Problems with the Spectral Parameter in the Equations and the Boundary Conditions

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