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Eigenvalues of a λ – Rational Sturm– Liouville Problem
Author(s) -
Langer Matthias
Publication year - 2000
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/(sici)1522-2616(200002)210:1<163::aid-mana163>3.0.co;2-c
Subject(s) - eigenvalues and eigenvectors , sturm–liouville theory , mathematics , matrix differential equation , spectrum of a matrix , pure mathematics , mathematical analysis , boundary value problem , differential equation , physics , quantum mechanics
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.