BOUNDEDLY SOLVABILITY OF FIRST ORDER DELAY DIFFERENTIAL OPERATORS WITH PIECEWISE CONSTANT ARGUMENTS

P. IPEK AL1, Z. I. ISMAILOV2

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Abstract

Using the methods of operator theory, we investigate all boundedly solvable extensions of a minimal operator generated by rst order delay dierential-operator expression with piecewise constant argument in the Hilbert space of vector-functions at nite interval. Also spectrum of these extensions is studied.

Keywords

Boundedly solvable operator, dierential operator with piecewise constant argument, spectrum.