Selfadjoint extensions of multipoint singular differential operators
Electronic journal of differential equations, Tome 2013 (2013)
This article describes all selfadjoint extensions of the minimal operator generated by a linear singular multipoint symmetric differential-operator expression for first order in the direct sum of Hilbert spaces of vector-functions. This description is done in terms of the boundary values, and it uses the Everitt-Zettl and the Calkin-Gorbachuk methods. Also the structure of the spectrum of these extensions is studied.
Classification :
47A10
Keywords: everitt-zettl and Calkin-gorbachuk methods, singular multipoint, differential operators, selfadjoint extension, spectrum
Keywords: everitt-zettl and Calkin-gorbachuk methods, singular multipoint, differential operators, selfadjoint extension, spectrum
@article{EJDE_2013__2013__a97,
author = {Ismailov, Zameddin I.},
title = {Selfadjoint extensions of multipoint singular differential operators},
journal = {Electronic journal of differential equations},
year = {2013},
volume = {2013},
zbl = {1322.47041},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a97/}
}
Ismailov, Zameddin I. Selfadjoint extensions of multipoint singular differential operators. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a97/