The eigenvalue and the eigenfunction of the Sturm-Liouville problem treated as analytic functions of the integrable potential

DOI10.1007/s10625-005-0214-2zbMath1092.34578OpenAlexW1994622274MaRDI QIDQ2567820

V. A. Vinokurov

Publication date: 13 October 2005

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10625-005-0214-2

zbMATH Keywords

eigenvaluesSturm Liouville theory

Mathematics Subject Classification ID

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 (3)

On the dependence of nodes of Sturm-Liouville problems on potentials ⋮ An exponentially convergent functional-discrete method for solving Sturm-Liouville problems with a potential including the Dirac \(\delta\)-function ⋮ On the second-order Fréchet derivatives of eigenvalues of Sturm-Liouville problems in potentials

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