Geodesic
Systems of differential equations with periodic coefficients
Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 4, pp. 38-46

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider linear systems of differential equations with periodic coefficients. We prove the solvability of nonhomogeneous systems in the Sobolev space $W^1_2(R)$ and establish the estimates for the solutions. Using the result, we prove a theorem on a perturbation for the exponential dichotomy of systems of differential equations with periodic coefficients.
Keywords: exponential dichotomy, periodic coefficients, projection, Green matrix, Sobolev space.
Mots-clés : perturbation 
@article{SJIM_2013_16_4_a3,
     author = {G. V. Demidenko},
     title = {Systems of differential equations with periodic coefficients},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {38--46},
     publisher = {mathdoc},
     volume = {16},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2013_16_4_a3/}
}
TY  - JOUR
AU  - G. V. Demidenko
TI  - Systems of differential equations with periodic coefficients
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2013
SP  - 38
EP  - 46
VL  - 16
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2013_16_4_a3/
LA  - ru
ID  - SJIM_2013_16_4_a3
ER  - 
%0 Journal Article
%A G. V. Demidenko
%T Systems of differential equations with periodic coefficients
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2013
%P 38-46
%V 16
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2013_16_4_a3/
%G ru
%F SJIM_2013_16_4_a3
G. V. Demidenko. Systems of differential equations with periodic coefficients. Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 4, pp. 38-46. http://geodesic.mathdoc.fr/item/SJIM_2013_16_4_a3/