First order maximally dissipative singular differential operators

Abstract

In this paper, using the Calkin-Gorbachuk method, the general form of all maximal dissipative extensions of the minimal operator generated by first order linear multipoint symmetric singular differential-operator expression in the direct sum of Hilbert space of vector-functions has been found. Later on, the structure of spectrum of these extensions is researched. Finally, the results are supported by an application.

Keywords

• Dissipative differential operator,selfadjoint differential operator,deficiency index,space of boundary values,spectrum

References

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