- Hacettepe Journal of Mathematics and Statistics
- Vol: 45 Issue: 3
- Solvable time-delay differential operators for first order and their spectrums
Solvable time-delay differential operators for first order and their spectrums
Authors : Z. I. Ismailov, B. Ö. Güler, P. Ipek
Pages : 755-764
View : 12 | Download : 4
Publication Date : 2016-06-01
Article Type : Research
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.Keywords : Delay Differential Expression, Solvable Extension, Spectrum