Matrix representations of Sturm-Liouville problems with transmission conditions

DOI10.1016/j.camwa.2012.01.051zbMath1247.34039OpenAlexW1967028283MaRDI QIDQ453866

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

Publication date: 30 September 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.01.051

zbMATH Keywords

Sturm-Liouville problemsfinite spectrummatrix eigenvalue problemstransmission condition

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalues, singular values, and eigenvectors (15A18) General spectral theory of ordinary differential operators (34L05)

Related Items (15)

Matrix representations of Sturm-Liouville problems with coupled eigenparameter-dependent boundary conditions ⋮ The finite spectrum of Sturm-Liouville problems with \(n\) transmission conditions and quadratic eigenparameter-dependent boundary conditions ⋮ Completeness of eigenfunctions of discontinuous Sturm-Liouville problems ⋮ Dissipative operators with impulsive conditions ⋮ Matrix representations of fourth order boundary value problems with periodic boundary conditions ⋮ Unnamed Item ⋮ Matrix representations of Sturm-Liouville problems with eigenparameter-dependent boundary conditions ⋮ Inverse spectral problems for discontinuous Sturm-Liouville problems of Atkinson type ⋮ The finite spectrum of fourth-order boundary value problems with transmission conditions ⋮ Boundary value problems with eigenvalue-dependent boundary and transmission conditions ⋮ An inverse spectral problem of Sturm-Liouville 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

Cites Work

• Unnamed Item
• The study of Jacobi and cyclic Jacobi matrix eigenvalue problems using Sturm-Liouville theory
• Inverse Sturm-Liouville problems with finite spectrum
• The finite spectrum of Sturm-Liouville problems with transmission conditions
• Matrix representations of Sturm-Liouville problems with finite spectrum
• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
• Floquet theory for left-definite Sturm-Liouville problems
• Sturm-Liouville problems with impulse effects
• Sturm-Liouville problems with discontinuities at two points
• Discrete and continuous boundary problems
• ON NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF CARATHÉODORY SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
• Sturm-Liouville problems with finite spectrum

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