Geodesic
Selfadjoint singular differential operators of first order and their spectrum
Electronic journal of differential equations, Tome 2016 (2016)
Based on Calkin-Gorbachuk method, we describe all selfadjoint extensions of the minimal operator generated by linear multipoint singular symmetric differential-operator, as a direct sum of weighted Hilbert space of vector-functions. Another approach to the investigation of this problem has been done by Everitt, Zettl and Markus. Also we study the structure of spectrum of these extensions.
Classification : 47A10, 47B38
Keywords: singular selfadjoint differential operator, spectrum 
@article{EJDE_2016__2016__a33,
     author = {Ismailov,  Zameddin I. and Ipek,  Pembe},
     title = {Selfadjoint singular differential operators of first order and their spectrum},
     journal = {Electronic journal of differential equations},
     year = {2016},
     volume = {2016},
     zbl = {1330.47057},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a33/}
}
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Ismailov,  Zameddin I.; Ipek,  Pembe. Selfadjoint singular differential operators of first order and their spectrum. Electronic journal of differential equations, Tome 2016 (2016). http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a33/