Generalized Fourier series as Green's function expansion for multi-interval Sturm-Liouville systems

DOI10.1007/S00009-017-0901-2zbMath1378.34043OpenAlexW2604565509MaRDI QIDQ1674166

Oktay Sh. Mukhtarov, Kadriye Aydemir

Publication date: 1 November 2017

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

Full work available at URL: https://doi.org/10.1007/s00009-017-0901-2

zbMATH Keywords

Green's functionSturm-Liouville problemsFourier seriesresolvent operatortransmission conditions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Spectrum, resolvent (47A10) 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)

Related Items (3)

Titchmarsh-Weyl theory for Dirac systems with transmission conditions ⋮ Construction and stability of Riesz bases ⋮ Completeness theorem for eigenparameter dependent dissipative Dirac operator with general transfer conditions

Cites Work

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