Solvable time-delay differential operators for first order and their spectrums
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.45, no.3, pp.755-764, 2016 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 45 Issue: 3
- Publication Date: 2016
- Doi Number: 10.15672/hjms.20164513098
- Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.755-764
- Karadeniz Technical University Affiliated: Yes
Abstract
In this work, firstly based on the M.I. Vishik's results and using methods of operator theory all solvable extensions of a minimal operator generated by linear delay differential-operator expression of first order in the Hilbert space of vector-functions in finite interval are described. Later on, sharp formulas for the spectrums of these solvable extensions have been found. Finally, the obtained results has been supported by applications.