On the boundary value problem for the Sturm-Liouville equation with the discontinuous coefficient

DOI10.1002/mma.2714zbMath1323.34095OpenAlexW2168913103MaRDI QIDQ2847209

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Publication date: 4 September 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2714

zbMATH Keywords

integral representationboundary value problemsexpansion formulatransformation operatorasymptotic formulas for eigenvaluesspectral analysis of ordinary differential operatorsSturm-Louville equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (7)

Determination of the impulsive Sturm-Liouville operator from a set of eigenvalues ⋮ Inverse nodal problem for the Sturm-Liouville operator with a weight ⋮ Inverse spectral problems for the Dirac operator with complex-valued weight and discontinuity ⋮ Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator ⋮ On the boundary value problem for discontinuous Sturm-Liouville operator ⋮ Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition ⋮ Uniqueness theorems for inverse problems of discontinuous Sturm-Liouville operator

Cites Work

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