Canonical forms for boundary conditions of self-adjoint odd-order differential operators

Yorick Hardy; Bertin Zinsou

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arXiv · 2602.21234

Canonical forms for boundary conditions of self-adjoint odd-order differential operators

Yorick Hardy·Bertin Zinsou

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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 $(2n+1)$-th order differential operators with eigenvalue parameter dependent boundary conditions.

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Yorick Hardy, Bertin Zinsou. 2026-02-07. Canonical forms for boundary conditions of self-adjoint odd-order differential operators. https://arxiv.org/abs/2602.21234

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