On Rayleigh-Type Formulas for a Non-local Boundary Value Problem Associated with an Integral Operator Commuting with the Laplacian

Mathematics – Spectral Theory

Scientific paper

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17 pages

Scientific paper

In this article, we provide two different ways of producing recursive
formulas for the Rayleigh functions of eigenvalues of the one-dimensional
Laplacian with non-local boundary conditions, which commutes with an integral
operator having a harmonic kernel.

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