CANONICAL FORMS FOR BOUNDARY CONDITIONS OF SELF-ADJOINT DIFFERENTIAL OPERATORS

Yorick Hardy; Bertin Zinsou

doi:10.11948/20220073

2024 Volume 14 Issue 4

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Yorick Hardy, Bertin Zinsou. CANONICAL FORMS FOR BOUNDARY CONDITIONS OF SELF-ADJOINT DIFFERENTIAL OPERATORS[J]. Journal of Applied Analysis & Computation, 2024, 14(4): 1854-1868. doi: 10.11948/20220073

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Yorick Hardy, Bertin Zinsou. CANONICAL FORMS FOR BOUNDARY CONDITIONS OF SELF-ADJOINT DIFFERENTIAL OPERATORS[J]. Journal of Applied Analysis & Computation, 2024, 14(4): 1854-1868. doi: 10.11948/20220073

CANONICAL FORMS FOR BOUNDARY CONDITIONS OF SELF-ADJOINT DIFFERENTIAL OPERATORS

Yorick Hardy^1, ,,
Bertin Zinsou^1,

1.
School of Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa

Author Bio: Email: bertin.zinsou@wits.ac.za(B. Zinsou)
Corresponding author: Email: yorick.hardy@wits.ac.za(Y. Hardy)

Abstract

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.
- Canonical forms /
- boundary conditions /
- self-adjoint operators /
- CS-decomposition /
- Hermitian
MSC: 34B08, 34B09, 15A21, 15B57

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References

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