Title of article :
BOUNDEDLY SOLVABILITY OF FIRST ORDER DELAY DIFFERENTIAL OPERATORS WITH PIECEWISE CONSTANT ARGUMENTS
Author/Authors :
IPEK AL, P Karadeniz Technical University - Institute of Natural Sciences - Trabzon, Turkey , ISMAILOV, Z. I Karadeniz Technical University - Department of Mathematics - Trabzon, Turkey
Abstract :
Using the methods of operator theory, we investigate all boundedly solvable
extensions of a minimal operator generated by first order delay differential-operator expression with piecewise constant argument in the Hilbert space of vector-functions at
finite interval. Also spectrum of these extensions is studied.
Keywords :
Boundedly solvable operator , differential operator with piecewise constant argument , spectrum
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
