Estimates on the non-real eigenvalues of regular indefinite Sturm-Liouville problems

Abstract

Regular Sturm-Liouville problems with indefinite weight functions may possess finitely many non-real eigenvalues. In this note we prove explicit bounds on the real and imaginary parts of these eigenvalues in terms of the coefficients of the differential expression.

13 pages

References in corpus (2)

• The similarity problem for $J$-nonnegative Sturm-Liouville operators
• A survey of the regular weighted Sturm-Liouville problem - The non-definite case