A priori lower bound for the minimal eigenvalue of a Sturm-Liouville problem with boundary conditions of the second type

DOI10.1134/S000143461505020XzbMath1328.34088OpenAlexW2207427131MaRDI QIDQ745627

E. S. Karulina, A. A. Vladimirov

Publication date: 14 October 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143461505020x

zbMATH Keywords

Sturm-Liouville problemHölder's inequalityinfimumminimal eigenvalueLagrange finite-increment theoremthe space \(L_\gamma[0, 1, \gamma \in (0, 1)\)]

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• On the estimates for the minimum eigenvalue of the Sturm-Liouville problem with integral condition
• On the range of variation of an eigenvalue when the potential is varied
• Estimates for the first eigenvalue in some Sturm-Liouville problems
• The Sturm-Liouville Problem with Singular Potential and the Extrema of the First Eigenvalue

This page was built for publication: A priori lower bound for the minimal eigenvalue of a Sturm-Liouville problem with boundary conditions of the second type