On summability of spectral expansions corresponding to the Sturm-Liouville operator

DOI10.1155/2012/843562zbMath1332.47023OpenAlexW2149701817WikidataQ58705128 ScholiaQ58705128MaRDI QIDQ456580

Alexander S. Makin

Publication date: 16 October 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/843562

zbMATH Keywords

two-point boundary conditionsroot function systemthe Sturm-Liouville operator

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) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (6)

On the Riesz basis property of root vectors system for \(2\times 2\) Dirac type operators ⋮ New exact and numerical solutions of the (convection-)diffusion kernels on \(\mathrm{SE}(3)\) ⋮ Criterion of Bari basis property for 2 × 2 Dirac‐type operators with strictly regular boundary conditions ⋮ On spectral synthesis for dissipative Dirac type operators ⋮ Stability of spectral characteristics of boundary value problems for \(2 \times 2\) Dirac type systems: applications to the damped string ⋮ Constructing a basis from systems of eigenfunctions of one not strengthened regular boundary value problem

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