Electron. J. Differential Equations, Vol. 2017 (2017), No. 143, pp. 1-8.

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

Pembe Ipek, Bulent Yilmaz, Zameddin I. Ismailov

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.

Submitted March 17, 2017. Published June 17, 2017.
Math Subject Classifications: 47A10, 47B25.
Key Words: Multipoint singular differential expression; deficiency indeces; symmetric and selfadjoint differential operator; spectrum.

Show me the PDF file (181 KB), TEX file for this article.

Pembe Ipek
Karadeniz Technical University
Institute of Natural Sciences
61080, Trabzon, Turkey
email: ipekpembe@gmail.com
Bülent Yilmaz
Marmara University
Department of Mathematics
Kadköy, 34722, Istanbul, Turkey
email: bulentyilmaz@marmara.edu.tr
Zameddin I. Ismailov
Karadeniz Technical University
Department of Mathematics
61080, Trabzon, Turkey
email: zameddin.ismailov@gmail.com

Return to the EJDE web page