Matematičeskie zametki, Tome 9 (1971) no. 1, pp. 77-82
Citer cet article
A. I. Kolosov. Transformation of a singular boundary-value problem on a half-line to an integral equation with a discontinuous operator. Matematičeskie zametki, Tome 9 (1971) no. 1, pp. 77-82. http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a10/
@article{MZM_1971_9_1_a10,
author = {A. I. Kolosov},
title = {Transformation of a singular boundary-value problem on a half-line to an integral equation with a discontinuous operator},
journal = {Matemati\v{c}eskie zametki},
pages = {77--82},
year = {1971},
volume = {9},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a10/}
}
TY - JOUR
AU - A. I. Kolosov
TI - Transformation of a singular boundary-value problem on a half-line to an integral equation with a discontinuous operator
JO - Matematičeskie zametki
PY - 1971
SP - 77
EP - 82
VL - 9
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a10/
LA - ru
ID - MZM_1971_9_1_a10
ER -
%0 Journal Article
%A A. I. Kolosov
%T Transformation of a singular boundary-value problem on a half-line to an integral equation with a discontinuous operator
%J Matematičeskie zametki
%D 1971
%P 77-82
%V 9
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a10/
%G ru
%F MZM_1971_9_1_a10
An investigation of a boundary-value problem on a half-line for a nonlinear ordinary second-order differential equation whose free term has a discontinuity in a strip. A method is proposed for the transformation of the boundary-value problem into an integral equation with a discontinuous operator. Some results have recently been obtained concerning the existence, the comparison, and integral representations of solutions of this integral equation.