BOUNDEDLY SOLVABLE NEUTRAL TYPE DELAY DIFFERENTIAL OPERATORS OF THE FIRST ORDER

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Ismailov Z. I., Al Ipek P.

EURASIAN MATHEMATICAL JOURNAL, vol.10, no.3, pp.20-27, 2019 (ESCI)

• Publication Type: Article / Article
• Volume: 10 Issue: 3
• Publication Date: 2019
• Doi Number: 10.32523/2077-9879-2019-10-3-20-27
• Journal Name: EURASIAN MATHEMATICAL JOURNAL
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.20-27
• Karadeniz Technical University Affiliated: Yes

Abstract

In this work, by using methods of operator theory, all boundedly solvable extensions of the minimal operator generated by a linear neutral type delay differential-operator expression of the first order in a Hilbert space of vector-functions on a finite interval are described. Furthermore, the geometry of spectrum sets of these operators is studied.