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- Title
Bounds on Non-Real Eigenvalues of Indefinite Sturm-Liouville Problems.
- Authors
Behrndt, Jussi; Chen, Shaozhou; Philipp, Friedrich; Qi, Jiangang
- Abstract
It is known since the early 20th century that regular indefinite Sturm-Liouville problems may possess non-real eigenvalues. However, finding bounds for this set in terms of the coefficients of the differential expression has remained an open problem until recently. In this note we prove a variant of a recent result in [1] on the bounds for the non-real eigenvalues of an indefinite Sturm-Liouville problem with Dirichlet boundary conditions. (© 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
- Subjects
EIGENVALUES; NUMERICAL solutions to Sturm-Liouville equations; DIRICHLET principle; INTEGRABLE functions; EIGENFUNCTIONS
- Publication
PAMM: Proceedings in Applied Mathematics & Mechanics, 2013, Vol 13, Issue 1, p525
- ISSN
1617-7061
- Publication type
Article
- DOI
10.1002/pamm.201310255