Partial Total Boundedness of Solutions to Systems of Differential Equations with Partly Controlled Initial Conditions
Matematičeskie zametki, Tome 99 (2016) no. 2, pp. 239-247
Voir la notice de l'article provenant de la source Math-Net.Ru
The notions of partial total boundedness of solutions with partially controlled initial conditions and of partial total equiboundedness of solutions with partially controlled initial conditions are introduced. The direct Lyapunov method and the method of Lyapunov vector functions are used to obtain sufficient conditions for these types of boundedness of the solutions.
Keywords:
partial total boundedness, partial total equiboundedness, Lyapunov method, partially controlled initial conditions, stability, equilibrium.
@article{MZM_2016_99_2_a6,
author = {K. S. Lapin},
title = {Partial {Total} {Boundedness} of {Solutions} to {Systems} of {Differential} {Equations} with {Partly} {Controlled} {Initial} {Conditions}},
journal = {Matemati\v{c}eskie zametki},
pages = {239--247},
publisher = {mathdoc},
volume = {99},
number = {2},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_2_a6/}
}
TY - JOUR AU - K. S. Lapin TI - Partial Total Boundedness of Solutions to Systems of Differential Equations with Partly Controlled Initial Conditions JO - Matematičeskie zametki PY - 2016 SP - 239 EP - 247 VL - 99 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2016_99_2_a6/ LA - ru ID - MZM_2016_99_2_a6 ER -
%0 Journal Article %A K. S. Lapin %T Partial Total Boundedness of Solutions to Systems of Differential Equations with Partly Controlled Initial Conditions %J Matematičeskie zametki %D 2016 %P 239-247 %V 99 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2016_99_2_a6/ %G ru %F MZM_2016_99_2_a6
K. S. Lapin. Partial Total Boundedness of Solutions to Systems of Differential Equations with Partly Controlled Initial Conditions. Matematičeskie zametki, Tome 99 (2016) no. 2, pp. 239-247. http://geodesic.mathdoc.fr/item/MZM_2016_99_2_a6/