Completeness of eigenfunctions of Sturm-Liouville problems with transmission conditions

DOI10.4310/MAA.2009.v16.n3.a2zbMath1210.34123OpenAlexW2012103051MaRDI QIDQ982734

Aiping Wang, Jiong Sun, Xiaoling Hao, Siqin Yao

Publication date: 27 July 2010

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

Full work available at URL: https://projecteuclid.org/euclid.maa/1273002794

zbMATH Keywords

eigenvaluescompletenesseigenfunctionsorthonormal basistransmission conditionseigenparameter-dependent boundary conditions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Parameter dependent boundary value problems for ordinary differential equations (34B08)

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Completeness of eigenfunctions of discontinuous Sturm-Liouville problems ⋮ Dissipative Sturm-Liouville operators with transmission conditions ⋮ On a spectral theory of singular Hahn difference equation of a Sturm‐Liouville type problem with transmission conditions ⋮ Sturm-Liouville problem with moving discontinuity points ⋮ On basis property of root functions for a class second order differential operator ⋮ Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator ⋮ On Basis Property of Root Functions for a Class of the Second Order Differential Operators ⋮ On the completeness of eigenfunctions of a discontinuous Dirac operator with an eigenparameter in the boundary condition ⋮ Spectral expansion for the singular Dirac system with impulsive conditions ⋮ Green function of fourth-order differential operator with eigenparameter-dependent boundary and transmission conditions ⋮ Sturm-Liouville problems with transfer condition Herglotz dependent on the eigenparameter: Hilbert space formulation ⋮ Titchmarsh-Weyl theory for Dirac systems with transmission conditions ⋮ Asymptotic behavior of eigenvalues and eigenfunctions of Sturm-Liouville problems with coupled boundary conditions and transmission conditions ⋮ Some properties of eigenvalues and generalized eigenvectors of one boundary value problem

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