Matrix representations of Sturm-Liouville problems with coupled eigenparameter-dependent boundary conditions

DOI10.1016/j.amc.2014.06.096zbMath1335.34062OpenAlexW2079664400MaRDI QIDQ278309

Jiong Sun, Ji-jun Ao

Publication date: 2 May 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.06.096

zbMATH Keywords

Sturm-Liouville problemsfinite spectrummatrix eigenvalue problemscoupled eigenparameter-dependent boundary conditions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Parameter dependent boundary value problems for ordinary differential equations (34B08)

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The finite spectrum of Sturm-Liouville problems with \(n\) transmission conditions and quadratic eigenparameter-dependent boundary conditions ⋮ Second-order differential operators with interior singularity ⋮ Finite spectrum of Sturm-Liouville problems with eigenparameter-dependent boundary conditions on time scales ⋮ Generalized Fourier series as Green's function expansion for multi-interval Sturm-Liouville systems ⋮ Eigenvalues of Sturm-Liouville problems with distributional potentials and eigenparameter-dependent boundary conditions ⋮ Finite spectrum of fourth-order boundary value problems with boundary and transmission conditions dependent on the spectral parameter ⋮ Spectrum of periodic Sturm-Liouville problems involving additional transmission conditions ⋮ Basis properties of the eigenfunctions of two-interval Sturm-Liouville problems ⋮ Inverse spectral problem for Sturm-Liouville operator with coupled eigenparameter-dependent boundary conditions of Atkinson type ⋮ Eigenvalues of Sturm-Liouville problems with distribution potentials on time scales ⋮ Unnamed Item ⋮ The eigenvalue problem with interaction conditions at one interior singular point ⋮ Finite Spectrum of Sturm–Liouville Problems with Transmission Conditions Dependent on the Spectral Parameter

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