Canonical forms for boundary conditions of self-adjoint odd-order differential operators
Spectral Theory
2026-02-26 v1 Classical Analysis and ODEs
Abstract
It is useful to have canonical forms of boundary conditions in the study of the eigenvalues of boundary value problems and associated numerical applications. In [J. Appl. Anal. Comput., 2024, 14(4), {1854--1868}], a canonical form is given for self-adjoint differential operators of even order, with eigenvalue parameter dependent boundary conditions. In this article, we derive canonical forms for the remaining case, namely: for self-adjoint -th order differential operators with eigenvalue parameter dependent boundary conditions.
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Cite
@article{arxiv.2602.21234,
title = {Canonical forms for boundary conditions of self-adjoint odd-order differential operators},
author = {Yorick Hardy and Bertin Zinsou},
journal= {arXiv preprint arXiv:2602.21234},
year = {2026}
}
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24 pages