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Systems of differential equations with periodic coefficients

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Abstract

We consider linear systems of differential equations with periodic coefficients. We prove the solvability of nonhomogeneous systems in the Sobolev space W 12 (R) and establish estimates for the solutions. This result implies a perturbation theorem for the exponential dichotomy of systems of differential equations with periodic coefficients.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    G. V. Demidenko

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    G. V. Demidenko

Authors
  1. G. V. Demidenko
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Correspondence to G. V. Demidenko.

Additional information

Original Russian Text © G.V. Demidenko, 2013, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2013, Vol. XVI, No. 4, pp. 38–46.

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Demidenko, G.V. Systems of differential equations with periodic coefficients. J. Appl. Ind. Math. 8, 20–27 (2014). https://doi.org/10.1134/S1990478914010037

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  • DOI: https://doi.org/10.1134/S1990478914010037

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