Bounds on the Non‐real Spectrum of a Singular Indefinite Sturm‐Liouville Operator on ℝ | Zendy

Behrndt Jussi | Zendy; Schmitz Philipp | Zendy; Trunk Carsten | Zendy

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Bounds on the Non‐real Spectrum of a Singular Indefinite Sturm‐Liouville Operator on ℝ

Author(s) -

Behrndt Jussi,

Schmitz Philipp,

Trunk Carsten

Publication year - 2016

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201610429

Subject(s) - sturm–liouville theory , eigenvalues and eigenvectors , spectrum (functional analysis) , mathematics , operator (biology) , real line , integrable system , simple (philosophy) , weight function , function (biology) , singular value , pure mathematics , mathematical analysis , chemistry , physics , quantum mechanics , philosophy , biochemistry , epistemology , repressor , evolutionary biology , biology , transcription factor , gene , boundary value problem

A simple explicit bound on the absolute values of the non‐real eigenvalues of a singular indefinite Sturm‐Liouville operator on the real line with the weight function sgn(·) and an integrable, continuous potential q is obtained. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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