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Ukrainian Mathematical Journal

, Volume 45, Issue 12, pp 1893–1899 | Cite as

On separatrix curves of a family of linear systems with pulse influence

  • O. P. Svistun
Article

Abstract

For a family of linear systems of differential equations with pulse influence, we establish conditions of existence of separatrix curves and present a method for finding these curves.

Keywords

Differential Equation Linear System Separatrix Curve Pulse Influence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Yu. A. Mitropol'skii, A. M. Samoilenko, and V. L. Kulik,Investigation of Dichotomy of Linear Systems of Differential Equations by Lyapunov Functions [in Russian], Naukova Durnka, Kiev (1990).Google Scholar
  2. 2.
    A. M. Samoilenko, “Elements of the mathematical theory of multifrequency oscillations,” in:Invariant Tori [in Russian], Nauka, Moscow (1987).Google Scholar
  3. 3.
    A. M. Samoilenko and N. A. Perestyuk,Differential Equations with Pulse Influence [in Russian], Vyshcha Shkola, Kiev (1987).Google Scholar

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • O. P. Svistun
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

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