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arXiv · 2604.12415

An eigenvalue result for Neumann BVPs with functional terms

Giuseppe Antonio Veltri
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Abstract

We study the existence and localization of eigenvalue-eigenfunction pairs for parameter-dependent Neumann BVPs with a functional term. By reformulating the problems as a Hammerstein integral equation, we apply an existence and localization result and propose a convergent fixed-point iteration scheme. Finally, two pseudocodes and a MATLAB implementation are provided to numerically approximate the eigenvalues and validate the theoretical localization bounds. We also illustrate an approximation of the eigenfunctions for a fixed norm.

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Giuseppe Antonio Veltri. 2026-04-14. An eigenvalue result for Neumann BVPs with functional terms. https://arxiv.org/abs/2604.12415

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