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Lyapunov Vector Functions, Rotation of Vector Fields, Guiding Functions, and the Existence of Poisson Bounded Solutions

  • ORDINARY DIFFERENTIAL EQUATIONS
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Abstract

We use the Lyapunov vector function method and the guiding function method to obtain sufficient conditions for the existence of Poisson bounded and partially Poisson bounded solutions of systems of differential equations.

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Funding

This work was supported by a grant from the President of the Russian Federation, project no. MK-211.2020.1.

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Authors and Affiliations

  1. Mordovian State Pedagogical Institute, Saransk, 430007, Russia

    K. S. Lapin

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  1. K. S. Lapin
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Correspondence to K. S. Lapin.

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Translated by V. Potapchouck

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Lapin, K.S. Lyapunov Vector Functions, Rotation of Vector Fields, Guiding Functions, and the Existence of Poisson Bounded Solutions. Diff Equat 57, 284–290 (2021). https://doi.org/10.1134/S0012266121030022

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  • DOI: https://doi.org/10.1134/S0012266121030022

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