Volume 16, Issue 1 pp. 881-882

Section 23

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

Jussi Behrndt,

Jussi Behrndt

Institut für Numerische Mathematik, Technische Universität Graz, Steyrergasse 30, 8010 Graz, Austria

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Philipp Schmitz,

Corresponding Author

Philipp Schmitz

[email protected]

Institut für Mathematik, Technische Universität Ilmenau, PF 100565, 98694 Ilmenau, Germany

phone +49 3677 69 3634, fax +49 3677 69 3270Search for more papers by this author

Carsten Trunk,

Carsten Trunk

Institut für Mathematik, Technische Universität Ilmenau, PF 100565, 98694 Ilmenau, Germany

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Jussi Behrndt,

Jussi Behrndt

Institut für Numerische Mathematik, Technische Universität Graz, Steyrergasse 30, 8010 Graz, Austria

Search for more papers by this author

Philipp Schmitz,

Corresponding Author

Philipp Schmitz

[email protected]

Institut für Mathematik, Technische Universität Ilmenau, PF 100565, 98694 Ilmenau, Germany

phone +49 3677 69 3634, fax +49 3677 69 3270Search for more papers by this author

Carsten Trunk,

Carsten Trunk

Institut für Mathematik, Technische Universität Ilmenau, PF 100565, 98694 Ilmenau, Germany

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First published: 25 October 2016

https://doi.org/10.1002/pamm.201610429

Citations: 6

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Abstract

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)

References

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Volume16, Issue1

Special Issue:Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker‐Vereinigung (DMV), Braunschweig 2016; Editors: V. Bach and H. Fassbender

October 2016

Pages 881-882

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

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

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