English

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 (2n+1)(2n+1)-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