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
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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.
@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},
publisher = {mathdoc},
volume = {8},
number = {3},
year = {1970},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_1970_8_3_a1/ %G ru %F MZM_1970_8_3_a1
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/