On extensions of matrix-valued Hahn–Sturm–Liouville operators

Bilender Allahverdiev, Huseyin Tuna

Abstract


In this paper, we study matrix-valued Hahn–Sturm–Liouville equations. We give an existence and uniqueness result. We introduce the corresponding maximal and minimal operators for this system, and some properties of these operators are investigated. Finally, we characterize extensions (maximal dissipative, maximal accumulative and self-adjoint) of the minimal symmetric operator.

Keywords


Hahn–Sturm–Liouville equation; minimal and maximal operators; maximal dissipative; accumulative and self-adjoint extensions

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References


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DOI: http://dx.doi.org/10.17951/a.2021.75.2.1-12
Date of publication: 2022-02-21 20:04:33
Date of submission: 2022-02-13 20:40:14


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