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Russian Mathematics

, Volume 63, Issue 8, pp 17–24 | Cite as

Higher Lyapunov Functions Derivatives and Total Poisson Boundedness of Solutions

  • K. S. LapinEmail author
Article

Abstract

Using the method of higher Lyapunov functions derivatives we obtain sufficient conditions for total Poisson boundedness of solutions, partial total Poisson boundedness of solutions, and partial total Poisson boundedness of solutions with partially controlled initial conditions.

Key words

higher-order derivatives Lyapunov function total boundedness of solutions Poisson boundedness of solutions partially controlled initial conditions 

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Notes

The work was financially supported by the grant of the president of Russian Federation no. MK-139.2017.1.

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Copyright information

© Allerton Press, Inc. 2019

Authors and Affiliations

  1. 1.Mordovian State Pedagogical Institute named after M.E. EvsevievSaranskRussia

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