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Moscow University Mathematics Bulletin

, Volume 74, Issue 3, pp 121–126 | Cite as

Reducibility of Linear Differential Systems to Linear Differential Equations

  • I. N. SergeevEmail author
Article

Abstract

Lyapunov reducibility of any bounded and sometimes unbounded linear homogeneous differential system to some bounded linear homogeneous differential equation is established. The preservation of the additional property of periodicity of coefficients is guaranteed, and for two-dimensional or complex systems the constancy of their coefficients is preserved. The differences in feasibility of asymptotic and generalized Lyapunov reducibility from Lyapunov one are indicated.

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Notes

Acknowledgments

The author is grateful to V. V. Bykov for valuable remarks contributed to significant improvement in the text of the paper.

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Copyright information

© Allerton Press, Inc. 2019

Authors and Affiliations

  1. 1.Faculty of Mechanics and MathematicsMoscow State UniversityLeninskie Gory, MoscowRussia

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