Eigenvalues of a λ-rational Sturm–Liouville problem

Matthias Langer

doi:10.1002/(SICI)1522-2616(200002)210:1<163::AID-MANA163>3.0.CO;2-C

Eigenvalues of a λ-rational Sturm–Liouville problem

Matthias Langer

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

The Sturm-Liouville problem (1.1), (1.2) is considered, which depends rationally on
the eigenvalue parameter. Estimates for the eigenvalues and especially for the embedded eigenvalues are proved. Moreover, conditions for the non-existence of embedded eigenvalues are given.

Original language	English
Pages (from-to)	163-176
Number of pages	14
Journal	Mathematische Nachrichten
Volume	210
Issue number	1
DOIs	https://doi.org/10.1002/(SICI)1522-2616(200002)210:1<163::AID-MANA163>3.0.CO;2-C
Publication status	Published - Feb 2000

Keywords

rational eigenvalue problem
Sturm-Liouville problem
embedded eigenvalues

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10.1002/(SICI)1522-2616(200002)210:1<163::AID-MANA163>3.0.CO;2-C

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AB - The Sturm-Liouville problem (1.1), (1.2) is considered, which depends rationally on the eigenvalue parameter. Estimates for the eigenvalues and especially for the embedded eigenvalues are proved. Moreover, conditions for the non-existence of embedded eigenvalues are given.

KW - rational eigenvalue problem

KW - Sturm-Liouville problem

KW - embedded eigenvalues

U2 - 10.1002/(SICI)1522-2616(200002)210:1<163::AID-MANA163>3.0.CO;2-C

DO - 10.1002/(SICI)1522-2616(200002)210:1<163::AID-MANA163>3.0.CO;2-C

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EP - 176

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

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ER -

Eigenvalues of a λ-rational Sturm–Liouville problem

Abstract

Keywords

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