NORMAL DIFFERENTIAL OPERATORS OF FIRST-ORDER WITH SMOOTH COEFFICIENTS
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, vol.42, no.2, pp.633-642, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 42 Issue: 2
- Publication Date: 2012
- Doi Number: 10.1216/rmj-2012-42-2-633
- Journal Name: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.633-642
- Karadeniz Technical University Affiliated: Yes
Abstract
In this work, in terms of boundary values all normal extensions of a class of formally normal minimal operators, generated by a linear differential-operator expression of first-order with smooth operator coefficients are described in Hilbert space of vector-functions in a finite interval. The structure of the spectrum of the normal extensions is investigated.