Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 30 (1987), pp. 105-201
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I. T. Kiguradze; B. L. Shekhter. Singular boundary value problems for second-order ordinary differential equations. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 30 (1987), pp. 105-201. http://geodesic.mathdoc.fr/item/INTD_1987_30_a1/
@article{INTD_1987_30_a1,
author = {I. T. Kiguradze and B. L. Shekhter},
title = {Singular boundary value problems for second-order ordinary differential equations},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {105--201},
year = {1987},
volume = {30},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1987_30_a1/}
}
TY - JOUR
AU - I. T. Kiguradze
AU - B. L. Shekhter
TI - Singular boundary value problems for second-order ordinary differential equations
JO - Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
PY - 1987
SP - 105
EP - 201
VL - 30
UR - http://geodesic.mathdoc.fr/item/INTD_1987_30_a1/
LA - ru
ID - INTD_1987_30_a1
ER -
%0 Journal Article
%A I. T. Kiguradze
%A B. L. Shekhter
%T Singular boundary value problems for second-order ordinary differential equations
%J Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
%D 1987
%P 105-201
%V 30
%U http://geodesic.mathdoc.fr/item/INTD_1987_30_a1/
%G ru
%F INTD_1987_30_a1
This article gives an exposition of the fundamental results of the theory of boundary-value problems for ordinary second-order differential equations having singularities with respect to the independent variable or one of the phase variables. In particular criteria are given for solvability and unique solvability of two-point boundary-value problems and problems concerning bounded and monotonic solutions. Several specific problems are considered which arise in applications (atomic physics, field theory, boundary-layer theory of a viscous incompressible fluid, etc.)
