On singular Sturm theorems
D. Aharonov, U. Elias
TL;DR
This paper reviews recent developments in singular Sturm theorems, focusing on cases with unbounded coefficients or intervals, expanding classical results to more general settings.
Contribution
It provides a summary of advancements in singular Sturm theorems, highlighting extensions to unbounded coefficients and intervals.
Findings
Extensions of Sturm Comparison Theorem to singular cases
Extensions of Sturm Separation Theorem to singular cases
Applicable to differential equations with unbounded coefficients
Abstract
The article summarizes some developments about a singular versions of the Sturm Comparison and Separation theorems where the coefficients or the interval of definition may be unbounded.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Algebraic and Geometric Analysis · advanced mathematical theories