On the boundary value problem for discontinuous Sturm-Liouville operator
DOI10.1007/s00009-018-1279-5zbMath1414.34021OpenAlexW2907342154WikidataQ128644127 ScholiaQ128644127MaRDI QIDQ670511
Publication date: 18 March 2019
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-018-1279-5
Sturm-Liouville problemcompleteness theoremasymptotic formulas of eigenvalues and eigenfunctionsdiscontinuous coefficient and discontinuity condition
Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Discontinuous ordinary differential equations (34A36)
Related Items (2)
Cites Work
- On Sturm-Liouville operators with discontinuity conditions inside an interval
- Eigenfunction expansion for Sturm-Liouville problems with transmission conditions at one interior point
- The basis property of the system of weak eigenfunctions of a discontinuous Sturm-Liouville problem
- Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition
- Inverse problem for interior spectral data of the Sturm – Liouville operator
- On the boundary value problem for the Sturm-Liouville equation with the discontinuous coefficient
- Discontinuous inverse eigenvalue problems
- Inverse problems for nonabsorbing media with discontinuous material properties
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