Solvable time-delay differential operators for first order and their spectrums

Authors : Z İ ISMAİLOV, B Ö GÜLER, P IPEK

Pages : 755-764

View : 23 | Download : 8

Publication Date : 2016-06-01

Article Type : Research Paper

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