Spectral properties of Sturm-Liouville operators with discontinuities at finite points

DOI10.1186/2251-7456-6-34zbMath1273.34037OpenAlexW2154849838WikidataQ59288214 ScholiaQ59288214MaRDI QIDQ2391736

Qiuxia Yang, Wan Yi Wang

Publication date: 5 August 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-6-34

zbMATH Keywords

Sturm-Liouville operatortransmission conditioneigenparameter-dependent boundary condition

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (5)

A singular Sturm-Liouville problem with limit circle endpoints and eigenparameter dependent boundary conditions ⋮ A singular Sturm-Liouville problem with limit circle endpoint and boundary conditions rationally dependent on the eigenparameter ⋮ Sturm-Liouville Problems with Discontinuities at Two Interior Points ⋮ On the completeness of eigenfunctions of a discontinuous Dirac operator with an eigenparameter in the boundary condition ⋮ Completeness theorem for discontinuous Dirac systems

Cites Work

• Eigenvalues and eigenfunctions of discontinuous Sturm-Liouville problems with eigenparameter in the boundary conditions.
• Some spectral properties of Sturm-Liouville problem with transmission conditions
• Discontinuous Sturm-Liouville problems containing eigenparameter in the boundary conditions
• Asymptotic behavior of a differential operator with discontinuities at two points
• One-dimensional Schrödinger operators with local point interactions.
• Green function of discontinuous boundary‐value problem with transmission conditions

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