Oscillation results for Sturm–Liouville problems with an indefinite weight function

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摘要

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.

论文关键词：primary 34B09,34C10,34B24,secondary 47B50,Sturm Liouville operator,Indefinite weight,Oscillation theory,m-Function,Prüfer angle,Signature of an eigenvalue

论文评审过程：Received 18 June 2003, Available online 18 March 2004.

论文官网地址：https://doi.org/10.1016/j.cam.2004.01.015