Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 135-146
Citer cet article
L. B. Zelenko. The limiting spectrum of a non-self-conjugate second-order differential operator with slowly varying coefficients. Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 135-146. http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a16/
@article{MZM_1973_13_1_a16,
author = {L. B. Zelenko},
title = {The limiting spectrum of a~non-self-conjugate second-order differential operator with slowly varying coefficients},
journal = {Matemati\v{c}eskie zametki},
pages = {135--146},
year = {1973},
volume = {13},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a16/}
}
TY - JOUR
AU - L. B. Zelenko
TI - The limiting spectrum of a non-self-conjugate second-order differential operator with slowly varying coefficients
JO - Matematičeskie zametki
PY - 1973
SP - 135
EP - 146
VL - 13
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a16/
LA - ru
ID - MZM_1973_13_1_a16
ER -
%0 Journal Article
%A L. B. Zelenko
%T The limiting spectrum of a non-self-conjugate second-order differential operator with slowly varying coefficients
%J Matematičeskie zametki
%D 1973
%P 135-146
%V 13
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a16/
%G ru
%F MZM_1973_13_1_a16
We describe the limiting spectrum $C(L)$ of the non-self-conjugate second-order differential operator $L$ with slowly varying coefficients, defined in $L^2(-\infty,\infty)$. The limiting spectrum is constructed from the spectra of operators with constant coefficients which are obtained from $L$ by “freezingrd”; the argument in the variable coefficients.
