Bulent Yilmaz, Zameddin I. Ismailov
In this article, we study all boundedly solvable extensions generated by linear mixed-type (forward-backward) functional differential-operator expressions of first order in the Hilbert space of vector-functions on a finite interval. Our main tools are methods of operator theory. Also we study the structure of the spectrum of these extensions.
Submitted May 18, 2016. Published July 10, 2016.
Math Subject Classifications: 47A10, 34K06.
Key Words: Mixed-type functional differential expression; bounded solvable operator; spectrum.
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| Bülent Yilmaz |
Marmara University, Department of Mathematics
Kadi köy, 34722, Istanbul, Turkey
| Zameddin I. Ismailov |
Karadeniz Technical University
Department of Mathematics
61080, Trabzon, Turkey
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