Weyl function of Sturm-Liouville problems with transmission conditions at finite interior points

DOI10.1007/S00009-017-0988-5zbMath1377.34033OpenAlexW2746334402MaRDI QIDQ1679408

Xiaoling Hao, Kun Li, Jiong Sun

Publication date: 9 November 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-017-0988-5

zbMATH Keywords

Sturm-Liouville problemsWeyl functiontransmission conditionslimit circle

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20)

Related Items (6)

Spectral analysis of \(\alpha\)-semi periodic 2-interval Sturm-Liouville problems ⋮ A generalized discontinuous Sturm-Liouville problem with boundary conditions rationally dependent on the eigenparameter ⋮ Spectral expansion for the singular Dirac system with impulsive conditions ⋮ Titchmarsh-Weyl theory for Dirac systems with transmission conditions ⋮ Completeness theorem for eigenparameter dependent dissipative Dirac operator with general transfer conditions ⋮ Green's function and Carleman's formula for transmission problems

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• Green function of discontinuous boundary‐value problem with transmission conditions
• Adjoint and Self-Adjoint Boundary Value Problems with Interface Conditions
• Spectral properties of discontinuous Sturm-Liouville problems with a finite number of transmission conditions

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