Multiplicities and relative position of eigenvalues of a quadratic pencil of Sturm-Liouville operators

DOI10.1007/BF02676667zbMath0967.34075WikidataQ126211232 ScholiaQ126211232MaRDI QIDQ1585626

R. Smith

Publication date: 16 November 2000

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Sturm-Liouville operatorsmultiplicitiesrelative position of eigenvalues

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Nonlinear ordinary differential operators (34L30) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items

Asymptotic behavior of the solutions and nodal points of Sturm-Liouville differential expressions, Reconstruction of the Sturm-Liouville operator with nonseparated boundary conditions and a spectral parameter in the boundary condition, Reconstruction and stability of inverse nodal problems for energy-dependent \(p\)-Laplacian equations, Unnamed Item, Solution of the inverse quasiperiodic problem for the Dirac system, On the quasinodal map for the diffusion operator, Trace formulae for differential pencils with spectral parameter dependent boundary conditions, The damped string problem revisited, Spectral properties of the Sturm-Liouville operator with a spectral parameter quadratically included in the boundary condition, New trace formulae for a quadratic pencil of the Schrödinger operator

Cites Work

• Solution of a class of inverse boundary-value Sturm-Liouville problems
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