First-order selfadjoint singular differential operators in a Hilbert space of vector functions

Date

2017-06-17

Authors

Ipek, Pembe
Yilmaz, Bulent
Ismailov, Zameddin

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we give a representation of all selfadjoint extensions of the minimal operator generated by first-order linear symmetric multipoint singular differential expression, with operator coefficient in the direct sum of Hilbert spaces of vector-functions defined at the semi-infinite intervals. To this end we use the Calkin-Gorbachuk method. Finally, the geometry of spectrum set of such extensions is researched.

Description

Keywords

Multipoint singular differential expression, Deficiency indeces, symmetric and selfadjoint differential operator, Spectrum

Citation

Ipek, P., Yilmaz, B., & Ismailov, Z. I. (2017). First-order selfadjoint singular differential operators in a Hilbert space of vector functions. <i>Electronic Journal of Differential Equations, 2017</i>(143), pp. 1-8.

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Attribution 4.0 International

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