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Guiding Functional Families, Lyapunov Vector Functions, and the Existence of Poisson Bounded Solutions

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Abstract

In this paper, we use the method of guiding functional families and the method of Lyapunov vector functions for establishing a sufficient condition for the existence of Poisson bounded solutions to systems of differential equations and a sufficient condition for the existence of partially Poisson bounded solutions to such systems.

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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 University named after M.E. Evseviev, 11a Studencheskaya str., 430007, Saransk, Russia

    K. S. Lapin

Authors
  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. 9, pp. 31–39.

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Lapin, K.S. Guiding Functional Families, Lyapunov Vector Functions, and the Existence of Poisson Bounded Solutions. Russ Math. 65, 26–32 (2021). https://doi.org/10.3103/S1066369X21090048

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  • DOI: https://doi.org/10.3103/S1066369X21090048

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