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(α, β)-Normal differential operators for first order in Hilbert spaces of vector-functions

Year: 2025
Type: article
Abstract: In this article, the relationships between (α, β)-normality properties of the extensions of the minimal operator generated by the first-order differential operator expression in the Hilbert spaces of vector-functions in a finite interval and the variable operator coefficients of this differential operator expression are investigated. Then, the general form of all (α, β)-normal extensions of the minimal operator in these spaces is determined under the constraints obtained for the coefficient operators.
Authors: ZAMEDDIN I. ISMAILOV, PEMBE İPEK AL
Language: English
Open Access status: diamond
OpenAlex ID: W7082356540
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