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TÜBİTAK

Turkish Journal of Mathematics

2019

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Full-Text Articles in Physical Sciences and Mathematics

Spectral Analysis Of Some Classes First-Order Normal Differential Operators, Pembe Ipek Al Jan 2019

Spectral Analysis Of Some Classes First-Order Normal Differential Operators, Pembe Ipek Al

Turkish Journal of Mathematics

In this paper, the general form of all normal differential operators generated by first-order linear singular differential expressions in the weighted Hilbert spaces of vector-functions on right semiaxis has been found. Later on, the spectrum set of these type extensions is investigated. Finally, the asymptotical behavior of the singular numbers of any normal extension is studied.