Eigenvalue ratios and eigenvalue gaps of Sturm–Liouville operators

DOI10.1017/S0308210500012828zbMath0913.34071OpenAlexW2063397932MaRDI QIDQ3840009

No author found.

Publication date: 24 May 1999

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/s0308210500012828

zbMATH Keywords

Sturm-Liouville operatorPrüfer transformationeigenvalue gapeigenvalue ratio

Mathematics Subject Classification ID

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

Related Items

The eigenvalue ratio of the vibrating strings with mixed boundary condition

Cites Work

• Eigenvalue ratios for Sturm--Liouville operators
• Optimal bounds for ratios of eigenvalues of one-dimensional Schrödinger operators with Dirichlet boundary conditions and positive potentials
• A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions
• On the maximum and minimum of some functionals for the eigenvalue problem of Sturm-Liouville type
• The Minimum Ratio of Two Eigenvalues
• Eigenvalue ratios for the regular Sturm-Liouville system