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Mathematical Notes

, Volume 105, Issue 1–2, pp 8–15 | Cite as

An Asymptotic Method for Reducing Systems of Differential Equations with Almost-Periodic Matrices

  • Yu. A. KonyaevEmail author
  • D. A. MaslovEmail author
Article
  • 6 Downloads

Abstract

An asymptotic method for reducing nonautonomous systems of differential equations with matrices represented as sums of matrix functions of different periods to systems with almost-constant matrices is proposed. On the basis of the proposed method, sufficient conditions for the asymptotic stability of solutions of systems of differential equations of this type are derived.

Keywords

nonautonomous system of differential equations splitting method asymptotic reducibility method stability 

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.National Research University Moscow Power Engineering InstituteMoscowRussia

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