The dual eigenvalue problems for the Sturm-Liouville system

DOI10.1016/J.CAMWA.2010.08.058zbMath1205.34115OpenAlexW2033471393MaRDI QIDQ623207

Sumit K. Garg

Publication date: 13 February 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.08.058

zbMATH Keywords

Sturm-Liouville equationeigenvalue gapeigenvalue ratio

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

On the Neumann eigenvalues for second-order Sturm-Liouville difference equations ⋮ The dual eigenvalue problems for \(p\)-Laplacian ⋮ Spectral gaps of 1-D Robin Schrödinger operators with single-well potentials ⋮ The gap between the first two eigenvalues of Schrödinger operators with single-well potential ⋮ An eigenvalue problem for vibrating strings with concave densities

Cites Work

• Unnamed Item
• The eigenvalue gap for vibrating strings with symmetric densities
• On the maximum and minimum of some functionals for the eigenvalue problem of Sturm-Liouville type
• Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Symmetric Single-Well Potentials
• Periodic Potentials with Minimal Energy Bands
• An extremal eigenvalue problem
• The Minimum Ratio of Two Eigenvalues
• On the eigenvalue ratio for vibrating strings
• The Eigenvalue Gap for One-Dimensional Convex Potentials
• On the first two eigenvalues of Sturm-Liouville operators

This page was built for publication: The dual eigenvalue problems for the Sturm-Liouville system