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

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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 
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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/

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