On continuity of the spectrum of a~singular quasi-differential operator with respect to a~parameter
Eurasian mathematical journal, Tome 2 (2011) no. 3, pp. 67-81

Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain sufficient conditions for continuity of the eigenvalues of semibounded quasi-differential operators of order $2n$ on the half-axis with respect to the parameters that appear in the corresponding differential expression. In addition we obtain a generalization of the well-known result of M. G. Krein [9] concerning description of the quadratic form of a regular quasi-differential operator in the singular case, when the deficiency indices of the minimal operator are equal to $(n,n)$.
@article{EMJ_2011_2_3_a3,
     author = {Kh. K. Ishkin},
     title = {On continuity of the spectrum of a~singular quasi-differential operator with respect to a~parameter},
     journal = {Eurasian mathematical journal},
     pages = {67--81},
     publisher = {mathdoc},
     volume = {2},
     number = {3},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2011_2_3_a3/}
}
TY  - JOUR
AU  - Kh. K. Ishkin
TI  - On continuity of the spectrum of a~singular quasi-differential operator with respect to a~parameter
JO  - Eurasian mathematical journal
PY  - 2011
SP  - 67
EP  - 81
VL  - 2
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EMJ_2011_2_3_a3/
LA  - en
ID  - EMJ_2011_2_3_a3
ER  - 
%0 Journal Article
%A Kh. K. Ishkin
%T On continuity of the spectrum of a~singular quasi-differential operator with respect to a~parameter
%J Eurasian mathematical journal
%D 2011
%P 67-81
%V 2
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EMJ_2011_2_3_a3/
%G en
%F EMJ_2011_2_3_a3
Kh. K. Ishkin. On continuity of the spectrum of a~singular quasi-differential operator with respect to a~parameter. Eurasian mathematical journal, Tome 2 (2011) no. 3, pp. 67-81. http://geodesic.mathdoc.fr/item/EMJ_2011_2_3_a3/