Abstract
The notions of Poisson boundedness and Poisson partial boundedness of solutions of systems are introduced. Based on the Lyapunov function method and Krasnosel’skii’s method of canonical domains, a sufficient condition for the existence of Poisson bounded solutions is obtained.
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This work was supported by the grant of the President of the Russian Federation MK-211.2020.1.
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Lapin, K.S. Lyapunov Functions, Krasnosel’skii Canonical Domains, and the Existence of Poisson Bounded Solutions. Math Notes 108, 716–720 (2020). https://doi.org/10.1134/S0001434620110097
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DOI: https://doi.org/10.1134/S0001434620110097