The finite spectrum of Sturm-Liouville problems with transmission conditions and eigenparameter-dependent boundary conditions

DOI10.1007/s00025-012-0252-zzbMath1280.34029OpenAlexW2016535955MaRDI QIDQ351102

Mao-Zhu Zhang, Jiong Sun, Ji-jun Ao

Publication date: 11 July 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-012-0252-z

zbMATH Keywords

eigenvalueSturm-Liouville problemsfinite spectrumtransmission conditionseigenparameter-dependent boundary conditions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (13)

Matrix representations of Sturm-Liouville problems with coupled eigenparameter-dependent boundary conditions ⋮ Fourth order boundary value problems with finite spectrum ⋮ The finite spectrum of Sturm-Liouville problems with \(n\) transmission conditions and quadratic eigenparameter-dependent boundary conditions ⋮ Second-order differential operators with interior singularity ⋮ Matrix representations of fourth order boundary value problems with periodic boundary conditions ⋮ Unnamed Item ⋮ Finite spectrum of fourth-order boundary value problems with boundary and transmission conditions dependent on the spectral parameter ⋮ Matrix representations of Sturm-Liouville problems with eigenparameter-dependent boundary conditions ⋮ The finite spectrum of fourth-order boundary value problems with transmission conditions ⋮ Finite spectrum of Sturm-Liouville problems with \(n\) transmission conditions ⋮ Matrix representations of fourth-order boundary value problems with transmission conditions ⋮ Eigenvalues of a class of fourth-order boundary value problems with transmission conditions using matrix theory ⋮ Unnamed Item

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