Matematičeskie zametki, Tome 5 (1969) no. 6, pp. 697-707
Citer cet article
M. G. Gimadislamov. The self-adjointness conditions for a higher order differential operator with an operator coefficient. Matematičeskie zametki, Tome 5 (1969) no. 6, pp. 697-707. http://geodesic.mathdoc.fr/item/MZM_1969_5_6_a6/
@article{MZM_1969_5_6_a6,
author = {M. G. Gimadislamov},
title = {The self-adjointness conditions for a~higher order differential operator with an~operator coefficient},
journal = {Matemati\v{c}eskie zametki},
pages = {697--707},
year = {1969},
volume = {5},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_6_a6/}
}
TY - JOUR
AU - M. G. Gimadislamov
TI - The self-adjointness conditions for a higher order differential operator with an operator coefficient
JO - Matematičeskie zametki
PY - 1969
SP - 697
EP - 707
VL - 5
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1969_5_6_a6/
LA - ru
ID - MZM_1969_5_6_a6
ER -
%0 Journal Article
%A M. G. Gimadislamov
%T The self-adjointness conditions for a higher order differential operator with an operator coefficient
%J Matematičeskie zametki
%D 1969
%P 697-707
%V 5
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1969_5_6_a6/
%G ru
%F MZM_1969_5_6_a6
Certain sufficient conditions are found for self-adjointness of the differential operator generated by the expressionl $$ l(y)=(-1)^ny^{2n}+Q(x)y, \quad -\infty<x<\infty, $$ where $Q(x)$ is for each fixed value of $x$ a bounded self-adjoint operator acting from the Hilbert space $H$ into $H$, and $y(x)$ is a vector function of $H_1$ for which $$ \int_{-\infty}^\infty\|y\|_H^2\,dx<\infty. $$
