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
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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.
@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},
publisher = {mathdoc},
volume = {9},
number = {1},
year = {1971},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a10/ %G ru %F MZM_1971_9_1_a10
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/