On the range of variation of an eigenvalue when the potential is varied

zbMath1143.34325MaRDI QIDQ2455147

V. A. Vinokurov, Victor A. Sadovnichij

Publication date: 22 October 2007

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (6)

Majorants for eigenvalues of Sturm-Liouville problems with potentials lying in balls of weighted spaces ⋮ On Conditions on the Potential in a Sturm– Liouville Problem and an Upper Estimate of its First Eigenvalue ⋮ A priori lower bound for the minimal eigenvalue of a Sturm-Liouville problem with boundary conditions of the second type ⋮ Estimates for the first eigenvalue of the Sturm-Liouville problem with potentials in weighted spaces ⋮ On Estimates of the First Eigenvalue for the Sturm–Liouville Problem with Symmetric Boundary Conditions and Integral Condition ⋮ Method of \(Y\)-mappings for study of multiparameter nonlinear eigenvalue problems

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