Exponential Dichotomy of Linear Systems of Differential Equations with Periodic Coefficients
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 4, pp. 40-48
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Conditions of exponential dichotomy of linear systems of differential equations with periodic coefficients are established. The results are stated in terms of solvability of a special boundary value problem for the Lyapunov differential equations. Estimates of dichotomy parameters and multipliers of the systems are given.
@article{VNGU_2008_8_4_a4,
author = {G. V. Demidenko and Yu. Yu. Klevtsova},
title = {Exponential {Dichotomy} of {Linear} {Systems} of {Differential} {Equations} with {Periodic} {Coefficients}},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {40--48},
publisher = {mathdoc},
volume = {8},
number = {4},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2008_8_4_a4/}
}
TY - JOUR AU - G. V. Demidenko AU - Yu. Yu. Klevtsova TI - Exponential Dichotomy of Linear Systems of Differential Equations with Periodic Coefficients JO - Sibirskij žurnal čistoj i prikladnoj matematiki PY - 2008 SP - 40 EP - 48 VL - 8 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VNGU_2008_8_4_a4/ LA - ru ID - VNGU_2008_8_4_a4 ER -
%0 Journal Article %A G. V. Demidenko %A Yu. Yu. Klevtsova %T Exponential Dichotomy of Linear Systems of Differential Equations with Periodic Coefficients %J Sibirskij žurnal čistoj i prikladnoj matematiki %D 2008 %P 40-48 %V 8 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/VNGU_2008_8_4_a4/ %G ru %F VNGU_2008_8_4_a4
G. V. Demidenko; Yu. Yu. Klevtsova. Exponential Dichotomy of Linear Systems of Differential Equations with Periodic Coefficients. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 4, pp. 40-48. http://geodesic.mathdoc.fr/item/VNGU_2008_8_4_a4/