Quasistable Properties of the Solutions of a Multiply Connected System of Differential Equations
Matematičeskie zametki, Tome 91 (2012) no. 1, pp. 136-142
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We prove a theorem on the asymptotic stability of power type with respect to one part of the phase variables and on the uniform boundedness of the solutions of a multiply connected system of differential equations with respect to the other part of the variables.
Keywords:
multiply connected system of differential equations, asymptotic stability, Lyapunov function, Cauchy problem
Mots-clés : Cauchy matrix.
Mots-clés : Cauchy matrix.
@article{MZM_2012_91_1_a10,
author = {E. V. Shchennikova},
title = {Quasistable {Properties} of the {Solutions} of a {Multiply} {Connected} {System} of {Differential} {Equations}},
journal = {Matemati\v{c}eskie zametki},
pages = {136--142},
publisher = {mathdoc},
volume = {91},
number = {1},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2012_91_1_a10/}
}
TY - JOUR AU - E. V. Shchennikova TI - Quasistable Properties of the Solutions of a Multiply Connected System of Differential Equations JO - Matematičeskie zametki PY - 2012 SP - 136 EP - 142 VL - 91 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2012_91_1_a10/ LA - ru ID - MZM_2012_91_1_a10 ER -
E. V. Shchennikova. Quasistable Properties of the Solutions of a Multiply Connected System of Differential Equations. Matematičeskie zametki, Tome 91 (2012) no. 1, pp. 136-142. http://geodesic.mathdoc.fr/item/MZM_2012_91_1_a10/