Deficiency Indices For Fourth-Order Matrix Differential Operators in Hilbert Spaces

We determine the deficiency indices for the 2nth-order Matrix differential operators, where $n=2$. The absolutely continuous spectrum is located and finally, the existence of a self-adjoint operator extension is proved.

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Publication Details

Journal
Maltepe Journal of Mathematics
Published
2026-11-09
DOI
https://doi.org/10.47087/mjm.1793891
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
Field-Weighted Citation Impact
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article

Deficiency Indices For Fourth-Order Matrix Differential Operators in Hilbert Spaces

Fredrick Oluoch Nyamwala, Mohammad Lubega, Ambogo David
Maltepe Journal of Mathematics
Spectral Theory in Mathematical Physics
article

Deficiency Indices For Fourth-Order Matrix Differential Operators in Hilbert Spaces

Fredrick Oluoch Nyamwala, Mohammad Lubega, Ambogo David
article en

Abstract

We determine the deficiency indices for the 2nth-order Matrix differential operators, where $n=2$. The absolutely continuous spectrum is located and finally, the existence of a self-adjoint operator extension is proved.

Maltepe Journal of MathematicsVol. 8(2)
Moi University (KE), Maseno University (KE), Kampala International University (UG)
Spectral Theory in Mathematical Physics
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