Electron. J. Differential Equations, Vol. 2017 (2017), No. 67, pp. 1-8.

Boundedly solvable extensions of delay differential operators

Bahadir O. Guler, Bulent Yilmaz, Zameddin I. Ismailov

Abstract:
We describe all boundedly solvable extensions of minimal operators generated by first-order linear delay differential operators in Hilbert spaces of vector-functions on finite intervals. Also, we study the structure of spectrum of these extensions. To do this we use methods from operator theory.

Submitted January 10, 2017. Published March 6, 2017.
Math Subject Classifications: 47A20, 47B38.
Key Words: Delay differential expression; boundedly solvable operator.

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Bahadir O. Guler
Department of Mathematics
Karadeniz Technical University, Turkey
email: boguler@ktu.edu.tr
Bulent Yilmaz
Department of Mathematics
Marmara University, Turkey
email: bulentyilmaz@marmara.edu.tr
Zameddin Ismailov
Department of Mathematics
Karadeniz Technical University, Turkey
email: zameddin.ismailov@gmail.com

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