Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 1, pp. 295-300
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Yu. T. Sil'chenko. Linear differential equation with non-densely defined operator coefficient, generating a non-analytical semigroup. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 1, pp. 295-300. http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a20/
@article{FPM_2001_7_1_a20,
author = {Yu. T. Sil'chenko},
title = {Linear differential equation with non-densely defined operator coefficient, generating a~non-analytical semigroup},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {295--300},
year = {2001},
volume = {7},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a20/}
}
TY - JOUR
AU - Yu. T. Sil'chenko
TI - Linear differential equation with non-densely defined operator coefficient, generating a non-analytical semigroup
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2001
SP - 295
EP - 300
VL - 7
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a20/
LA - ru
ID - FPM_2001_7_1_a20
ER -
%0 Journal Article
%A Yu. T. Sil'chenko
%T Linear differential equation with non-densely defined operator coefficient, generating a non-analytical semigroup
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2001
%P 295-300
%V 7
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a20/
%G ru
%F FPM_2001_7_1_a20
The solvability of the Cauchy problem for the linear differential equation with operator coefficient is established when this coefficient is not densely defined and generates a semigroup with a singularity.