Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 67-78
Citer cet article
È. Mukhamadiev; B. N. Sadovskii. An estimate for the spectral radius of an operator associated with an equation of neutral type. Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 67-78. http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a7/
@article{MZM_1973_13_1_a7,
author = {\`E. Mukhamadiev and B. N. Sadovskii},
title = {An estimate for the spectral radius of an operator associated with an equation of neutral type},
journal = {Matemati\v{c}eskie zametki},
pages = {67--78},
year = {1973},
volume = {13},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a7/}
}
TY - JOUR
AU - È. Mukhamadiev
AU - B. N. Sadovskii
TI - An estimate for the spectral radius of an operator associated with an equation of neutral type
JO - Matematičeskie zametki
PY - 1973
SP - 67
EP - 78
VL - 13
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a7/
LA - ru
ID - MZM_1973_13_1_a7
ER -
%0 Journal Article
%A È. Mukhamadiev
%A B. N. Sadovskii
%T An estimate for the spectral radius of an operator associated with an equation of neutral type
%J Matematičeskie zametki
%D 1973
%P 67-78
%V 13
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a7/
%G ru
%F MZM_1973_13_1_a7
We obtain new bounds for the spectral radius of the operator $(Ax)(t)=a(t)x(t-h)$ in spaces of functions which are $\omega$-periodic, almost periodic, and continuous and bounded on the whole axis. The results are used to prove a theorem on the existence ofohgr-periodic, bounded, and almost periodic solutions for linear functional-differential equations of neutral type.
