| Volume 14, Number 4, 2024, Pages - DOI：10.11948/JAAC-2022-0073 |
| Canonical forms for boundary conditions of self-adjoint differential operators |
| Yorick Hardy,Bertin Zinsou |
| Keywords:Canonical forms boundary conditions self-adjoint operators the CS-decomposition |
| 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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