Copyright © 2004 Elsevier B.V. All rights reserved.
Oscillation results for Sturm–Liouville problems with an indefinite weight function
Received 18 June 2003.
Available online 18 March 2004.
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Abstract
We prove oscillation results for the real eigenvalues of Sturm–Liouville problems with an indefinite weight function. An essential role is played by the signature of an eigenvalue, which is shown to be related to the signs of the corresponding leading coefficients of the Titchmarsh–Weyl m-function and of the Prüfer angle at this eigenvalue.
Author Keywords: Sturm Liouville operator; Indefinite weight; Oscillation theory; m-Function; Prüfer angle; Signature of an eigenvalue
Mathematical subject codes: primary 34B09; 34C10; 34B24; secondary 47B50






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