A priori bounds and existence of non-real eigenvalues of indefinite Sturm-Liouville problems

TL;DR

This paper establishes bounds and conditions for the existence of non-real eigenvalues in indefinite Sturm-Liouville problems, enhancing understanding of their spectral properties.

Contribution

It provides new a priori bounds and sufficient conditions for non-real eigenvalues in indefinite Sturm-Liouville problems.

Findings

Derived bounds on non-real eigenvalues

Identified conditions for existence of non-real eigenvalues

Enhanced spectral analysis of indefinite Sturm-Liouville problems

Abstract

The present paper gives a priori bounds on the possible non-real eigenvalues of regular indefinite Sturm-Liouville problems and obtains sufficient conditions for such problems to admit non-real eigenvalues.