Matematičeskie zametki, Tome 3 (1968) no. 6, pp. 715-720
Citer cet article
A. P. Khromov. The generating elements of certain Volterra operators connected with third- and fourth-order differential operators. Matematičeskie zametki, Tome 3 (1968) no. 6, pp. 715-720. http://geodesic.mathdoc.fr/item/MZM_1968_3_6_a11/
@article{MZM_1968_3_6_a11,
author = {A. P. Khromov},
title = {The generating elements of certain {Volterra} operators connected with third- and fourth-order differential operators},
journal = {Matemati\v{c}eskie zametki},
pages = {715--720},
year = {1968},
volume = {3},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_6_a11/}
}
TY - JOUR
AU - A. P. Khromov
TI - The generating elements of certain Volterra operators connected with third- and fourth-order differential operators
JO - Matematičeskie zametki
PY - 1968
SP - 715
EP - 720
VL - 3
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1968_3_6_a11/
LA - ru
ID - MZM_1968_3_6_a11
ER -
%0 Journal Article
%A A. P. Khromov
%T The generating elements of certain Volterra operators connected with third- and fourth-order differential operators
%J Matematičeskie zametki
%D 1968
%P 715-720
%V 3
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1968_3_6_a11/
%G ru
%F MZM_1968_3_6_a11
Sufficient conditions are established for $f(x)$ to be the generating function for the Volterra operator which is inverse to the Cauchy operator: $l[y]=y^{(n)}+p_2(x)y^{(n-2)}+\dots+p_n(x)y$, $y(0)=y'(0)=\dots=y^{(n-1)}(0)=0$ ($n=3,4$), when the coefficients $p_i(x)$ are not analytic.
