Sturm–Liouville problems with parameter dependent potential and boundary conditions
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摘要
This paper deals with the computation of the eigenvalues of Sturm–Liouville problems with parameter dependent potential and boundary conditions. We shall extend the domain of application of the method based on sampling theory to the case where the classical Whittaker–Shannon–Kotel’nikov theorem is not applicable. A few numerical examples will be presented.
论文关键词:34L15,35C10,Sturm–Liouville problems,Eigenvalue problems,Quadratic pencil,Indefinite Sturm–Liouville problems,Sampling theory
论文评审过程:Received 21 July 2006, Revised 4 December 2006, Available online 22 January 2007.
论文官网地址:https://doi.org/10.1016/j.cam.2006.12.006