On non-definite Sturm-Liouville problems with two turning points
Mervis Kikonko, Angelo B. Mingarelli
TL;DR
This paper investigates the Dirichlet problem for non-definite Sturm-Liouville equations with two turning points, providing lower bounds on Richardson numbers to extend previous one-turning-point results.
Contribution
It introduces a priori lower bounds on Richardson numbers for the two turning points case, expanding the understanding of non-definite Sturm-Liouville problems.
Findings
Established lower bounds on Richardson numbers
Extended previous results from one to two turning points
Contributed to the theory of non-definite Sturm-Liouville problems
Abstract
This is an inaugural study of the Dirichlet problem associated with a regular non-definite Sturm-Liouville equation in the case of two turning points. We give a priori lower bounds on the Richardson numbers associated with this problem thereby complementing pioneering results by Atkinson and Jabon (1984) in the one turning point case
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsSpectral Theory in Mathematical Physics · Graph theory and applications · Quantum chaos and dynamical systems