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Matematicheskie Zametki, 2018, Volume 104, Issue 2, Pages 243–254
DOI: https://doi.org/10.4213/mzm11683 (Mi mzm11683) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Poisson Total Boundedness of Solutions of Systems of Differential Equations and Lyapunov Vector Functions

K. S. Lapin

Mordovian State Pedagogical Institute, Saransk
Full-text PDF (455 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm11683
Abstract: We introduce the notions of Poisson total boundedness of solutions, partial Poisson total boundedness of solutions, and partial Poisson total boundedness of solutions with partly controlled initial conditions. We use the Lyapunov vector function method to obtain sufficient conditions for the Poisson total boundedness of solutions, the partial Poisson total boundedness of solutions, and the partial Poisson total boundedness of solutions with partly controlled initial conditions. As a consequence, we obtain sufficient conditions for the above-mentioned kinds of Poisson total boundedness of solutions based on the Lyapunov function method.
Keywords: boundedness of solutions, Poisson total boundedness of solutions, Lyapunov vector function, partial boundedness of solutions, partly controlled initial conditions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-139.2017.1
Received: 18.05.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 2, Pages 253–262
DOI: https://doi.org/10.1134/S000143461807026X
Bibliographic databases:
Document Type: Article
UDC: 517.925.54
Language: Russian
Citation: K. S. Lapin, “Poisson Total Boundedness of Solutions of Systems of Differential Equations and Lyapunov Vector Functions”, Mat. Zametki, 104:2 (2018), 243–254; Math. Notes, 104:2 (2018), 253–262
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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