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Siberian Mathematical Journal

, Volume 59, Issue 6, pp 1100–1104 | Cite as

Higher-Order Derivatives of Lyapunov Functions And Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations

  • K. S. LapinEmail author
Article
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Abstract

Using the higher-order derivatives of Lyapunov functions, we obtain sufficient tests of various types for the uniform-ultimate boundedness in the sense of Poisson of solutions and various types of equiultimate boundedness of solutions in the sense of Poisson.

Keywords

Lyapunov function uniform-ultimate boundedness equiultimate boundedness higherorder derivatives partially controlled initial conditions 

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

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

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