Electron. J. Diff. Equ., Vol. 2015 (2015), No. 36, pp. 1-10.

Solvability of multipoint differential operators of first order

Zameddin I. Ismailov, Pembe Ipek

Abstract:
Based on methods of operator theory, we describe all boundedly solvable extensions of the minimal operator generated by a linear multipoint functional differential-operator expression of first order, in a direct sum of Hilbert space of vector-functions. We also study the structure of spectrum of these extensions.

Submitted January 2, 2015. Published February 10, 2015.
Math Subject Classifications: 47A10.
Key Words: Differential operators; solvable extension; spectrum.

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Zameddin I. Ismailov
Karadeniz Technical University
Department of Mathematics
61080, Trabzon, Turkey
email: zameddin.ismailov@gmail.com
Pembe Ipek
Karadeniz Technical University
Institute of Natural Sciences
61080 Trabzon, Turkey
email: pembeipek@hotmail.com

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