Sturm–Liouville problems with impulse effects

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摘要

This paper deals with the computation of the eigenvalues of Sturm–Liouville problems with several discontinuity conditions inside a finite interval and parameter dependent boundary conditions using the regularized sampling method. A few examples are worked out by computing several eigenvalues and their corresponding eigenfunctions.

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

论文评审过程:Available online 9 February 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.01.092