Sturm-Liouville Problems with Discontinuities at Two Interior Points

DOI10.18311/JIMS/2018/14940zbMath1463.34119OpenAlexW2785303234MaRDI QIDQ5139941

Hongmei Han

Publication date: 13 December 2020

Published in: Journal of the Indian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18311/jims/2018/14940

zbMATH Keywords

eigenvalueseigenfunctionsGreen functiontransmission conditioneigenparameter-dependent boundary conditiondiscontinuous Sturm-Liouville problemsasymptotic formulas of eigenvalues and eigen functions

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) Green's functions for ordinary differential equations (34B27) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

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• Eigenvalues and normalized eigenfunctions of discontinuous Sturm-Liouville problem with transmission conditions
• Fundamental solutions and eigenvalues of a boundary-value problem with transmission conditions
• Spectral properties of Sturm-Liouville operators with discontinuities at finite points
• Sturm-Liouville problems with discontinuities at two points
• Discontinuous Sturm-Liouville problems containing eigenparameter in the boundary conditions
• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• Asymptotic behavior of a differential operator with discontinuities at two points
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• Problems for Ordinary Differential Equations with Transmission Conditions
• Green function of discontinuous boundary‐value problem with transmission conditions

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