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

Year 2016, Volume: 45 Issue: 3, 755 - 764, 01.06.2016

Z. İ. Ismailov , B. Ö. Güler , P. Ipek

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

References

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