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

Ismailov Z. I., Guler B. O., Ipek P.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.45, no.3, pp.755-764, 2016 (SCI-Expanded) identifier identifier


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.