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

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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.

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Authors and Affiliations

  1. Evsev’evMordovia State Pedagogical Institute, Saransk, Russia

    K. S. Lapin

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  1. K. S. Lapin
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Original Russian Text © K. S. Lapin, 2018, published in Matematicheskie Zametki, 2018, Vol. 103, No. 2, pp. 223–235.

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Lapin, K.S. Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations and Lyapunov Functions. Math Notes 103, 221–231 (2018). https://doi.org/10.1134/S0001434618010236

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  • DOI: https://doi.org/10.1134/S0001434618010236

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