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arXiv · 2109.13379

Canonical forms for boundary conditions of self-adjoint differential operators

Yorick Hardy·Bertin Zinsou
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Abstract

Canonical forms of boundary conditions are important in the study of the eigenvalues of boundary conditions and their numerical computations. The known canonical forms for self-adjoint differential operators, with eigenvalue parameter dependent boundary conditions, are limited to 4-th order differential operators. We derive canonical forms for self-adjoint 2n-th order differential operators with eigenvalue parameter dependent boundary conditions. We compare the 4-th order canonical forms to the canonical forms derived in this article.

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Yorick Hardy, Bertin Zinsou. 2021-09-27. Canonical forms for boundary conditions of self-adjoint differential operators. https://doi.org/10.11948/20220073

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