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Vector Lyapunov Functions, Complete Sets of Guiding Functions, and the Existence of Poisson Bounded Solutions

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Abstract

Based on the synthesis of the method of vector Lyapunov functions and the method of complete sets of guiding functions, we obtain sufficient conditions for the existence of Poisson bounded solutions to systems of differential equations, as well as solutions which are partially bounded in the Poisson sense.

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Funding

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

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Authors and Affiliations

  1. Mordovian State Pedagogical Institute named after M.E. Evseviev, 11A Studencheskaya str., 430007, Saransk, Russia

    K. S. Lapin

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

Additional information

Russian Text © The Author(s), 2021, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, No. 2, pp. 19–26.

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Lapin, K.S. Vector Lyapunov Functions, Complete Sets of Guiding Functions, and the Existence of Poisson Bounded Solutions. Russ Math. 65, 15–21 (2021). https://doi.org/10.3103/S1066369X2102002X

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  • DOI: https://doi.org/10.3103/S1066369X2102002X

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