Research of the nonautonomous system of ODE by the ideas of the method of guiding functions
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 510-516
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We indicate sufficient conditions connected with the method of guiding functions, under which periodically perturbed autonomous system of ODE has an periodic solution.
Keywords:
periodically perturbed autonomous system of ODE, topological degree of transformation, Steclov average, coercitivity of transformation.
@article{VTAMU_2018_23_123_a20,
author = {A. I. Perov and V. K. Kaverina},
title = {Research of the nonautonomous system of {ODE} by the ideas of the method of guiding functions},
journal = {Vestnik rossijskih universitetov. Matematika},
pages = {510--516},
publisher = {mathdoc},
volume = {23},
number = {123},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a20/}
}
TY - JOUR AU - A. I. Perov AU - V. K. Kaverina TI - Research of the nonautonomous system of ODE by the ideas of the method of guiding functions JO - Vestnik rossijskih universitetov. Matematika PY - 2018 SP - 510 EP - 516 VL - 23 IS - 123 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a20/ LA - ru ID - VTAMU_2018_23_123_a20 ER -
%0 Journal Article %A A. I. Perov %A V. K. Kaverina %T Research of the nonautonomous system of ODE by the ideas of the method of guiding functions %J Vestnik rossijskih universitetov. Matematika %D 2018 %P 510-516 %V 23 %N 123 %I mathdoc %U http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a20/ %G ru %F VTAMU_2018_23_123_a20
A. I. Perov; V. K. Kaverina. Research of the nonautonomous system of ODE by the ideas of the method of guiding functions. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 510-516. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a20/