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Specific features of the study of nonautonomous differential equations with exponential-type matrices

  • Volume 101, Number 2, February, 2017
  • Published:
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Abstract

An algorithm for the spectral analysis of nonautonomous systems of differential equations on the semiaxis whose matrix can be presented as the sum of exponential-type matrices is developed. This method, which is based on a version of the splitting method, allows us to prove a theorem stating that the initial system is almost reducible to a simpler equivalent system and to formulate a sufficient condition for the asymptotic stability and the stability of its trivial solution.

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Authors and Affiliations

  1. National Research University “Moscow Power Engineering Institute,”, Moscow, Russia

    Yu. A. Konyaev & D. A. Maslov

Authors
  1. Yu. A. Konyaev
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  2. D. A. Maslov
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Correspondence to Yu. A. Konyaev.

Additional information

Original Russian Text © Yu. A. Konyaev, D. A. Maslov, 2017, published in Matematicheskie Zametki, 2017, Vol. 101, No. 2, pp. 226–231.

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Konyaev, Y.A., Maslov, D.A. Specific features of the study of nonautonomous differential equations with exponential-type matrices. Math Notes 101, 260–264 (2017). https://doi.org/10.1134/S0001434617010308

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  • DOI: https://doi.org/10.1134/S0001434617010308

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