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

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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