Eigenvalues of Sturm–Liouville problems with discontinuity conditions inside a finite interval

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摘要

In this work, we use the regularized sampling method to compute the eigenvalues of Sturm–Liouville problems with discontinuity conditions inside a finite interval. We work out an example by computing a few eigenvalues and their corresponding eigenfunctions.

论文关键词:Sturm–Liouville problems,Discontinuity conditions,Shannon’s sampling theory,Regularized sampling method,Whittaker–Shannon–Kotel’nikov theorem

论文评审过程:Available online 6 February 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2006.11.082