Matematičeskie zametki, Tome 8 (1970) no. 3, pp. 285-295
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N. B. Konyukhova. Properties of solutions of certain two-dimensional nonlinear systems of ordinary differential equations on and outside a stable manifold. Matematičeskie zametki, Tome 8 (1970) no. 3, pp. 285-295. http://geodesic.mathdoc.fr/item/MZM_1970_8_3_a1/
@article{MZM_1970_8_3_a1,
author = {N. B. Konyukhova},
title = {Properties of solutions of certain two-dimensional nonlinear systems of ordinary differential equations on and outside a stable manifold},
journal = {Matemati\v{c}eskie zametki},
pages = {285--295},
year = {1970},
volume = {8},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_3_a1/}
}
TY - JOUR
AU - N. B. Konyukhova
TI - Properties of solutions of certain two-dimensional nonlinear systems of ordinary differential equations on and outside a stable manifold
JO - Matematičeskie zametki
PY - 1970
SP - 285
EP - 295
VL - 8
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1970_8_3_a1/
LA - ru
ID - MZM_1970_8_3_a1
ER -
%0 Journal Article
%A N. B. Konyukhova
%T Properties of solutions of certain two-dimensional nonlinear systems of ordinary differential equations on and outside a stable manifold
%J Matematičeskie zametki
%D 1970
%P 285-295
%V 8
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1970_8_3_a1/
%G ru
%F MZM_1970_8_3_a1
Some two-dimensional nonlinear systems with an irregular singularity at infinity are investigated. Properties of their solutions on and outside a one-dimensional stable manifold are studied. Representations for solutions on the manifold are derived in the form of one-parameter exponential series. It is shown how solutions not tending to zero at infinity deviate from the stable manifold.
