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Mathematical Notes

, Volume 103, Issue 1–2, pp 221–231 | Cite as

Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations and Lyapunov Functions

  • K. S. Lapin
Article
  • 11 Downloads

Abstract

The notions of different types of boundedness in the sense of Poisson of solutions to systems of differential equations are introduced. Sufficient conditions are obtained for different types of boundedness of solutions in the sense of Poisson, which are introduced in the paper.

Keywords

boundedness of solutions boundedness of solutions in the sense of Poisson Lyapunov function partial boundedness of solutions partially controllable initial conditions 

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • K. S. Lapin
    • 1
  1. 1.Evsev’evMordovia State Pedagogical InstituteSaranskRussia

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