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


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.


Differential Equation Linear System Separatrix Curve Pulse Influence 
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    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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