Limits of Sturm–Liouville eigenvalues when the interval shrinks to an end point

DOI10.1017/S0308210506001004zbMath1160.34022OpenAlexW1969212049MaRDI QIDQ3520190

Hongyou Wu, Qing Kai Kong, Anton Zettl

Publication date: 15 August 2008

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210506001004

zbMATH Keywords

eigenvalueSturm-Liouville problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (11)

Dependence of eigenvalues of a class of higher-order Sturm-Liouville problems on the boundary ⋮ DEPENDENCE OF EIGENVALUES OF SIXTH-ORDER BOUNDARY VALUE PROBLEMS ON THE BOUNDARY ⋮ Existence and nonexistence of solutions of second-order nonlinear boundary value problems ⋮ Linear Sturm-Liouville problems with general homogeneous linear multi-point boundary conditions ⋮ Dependence of eigenvalues of a class of fourth-order Sturm-Liouville problems on the boundary ⋮ Left-definite boundary conditions of Sturm-Liouville problems when the interval shrinks to a point ⋮ Half-linear eigenvalue problem: limit behavior of the first eigenvalue for shrinking interval ⋮ Linear Sturm-Liouville problems with Riemann-Stieltjes integral boundary conditions ⋮ Nodal solutions of second order nonlinear boundary value problems ⋮ Nodal solutions of multi-point boundary value problems ⋮ Linear Sturm-Liouville problems with multi-point boundary conditions

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