Bounds on Non‐Real Eigenvalues of Indefinite Sturm‐Liouville Problems | Zendy

Behrndt Jussi | Zendy; Chen Shaozhou | Zendy; Philipp Friedrich | Zendy; Qi Jiangang | Zendy

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Bounds on Non‐Real Eigenvalues of Indefinite Sturm‐Liouville Problems

Author(s) -

Behrndt Jussi,

Chen Shaozhou,

Philipp Friedrich,

Qi Jiangang

Publication year - 2013

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201310255

Subject(s) - sturm–liouville theory , eigenvalues and eigenvectors , mathematics , dirichlet boundary condition , set (abstract data type) , dirichlet distribution , boundary value problem , pure mathematics , boundary (topology) , open set , mathematical analysis , computer science , physics , quantum mechanics , programming language

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)

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