A priori bounds and existence of non-real eigenvalues 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.

10 pages, 15 references

References in corpus (2)

• A survey of the regular weighted Sturm-Liouville problem - The non-definite case
• Bounds on the non-real spectrum of differential operators with indefinite weights