2006•arXiv (Cornell University)Open access

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

B. Chanane

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Abstract

In this work, we use the \textit{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.

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In this work, we use the \textit{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.

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Available abstract

In this work, we use the \textit{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.

Key concepts: Sturm–Liouville theory, Eigenvalues and eigenvectors, Discontinuity (linguistics), Interval (graph theory), Mathematics, Mathematical analysis, Physics, Boundary value problem

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