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Matematicheskie Zametki, 2018, Volume 103, Issue 2, Pages 223–235
DOI: https://doi.org/10.4213/mzm11537 (Mi mzm11537) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations and Lyapunov Functions

K. S. Lapin

Mordovian State Pedagogical Institute, Saransk
Full-text PDF (438 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm11537
Abstract: The notions of different types of boundedness in the sense of Poisson of solutions to systems of differential equations are introduced. Sufficient conditions are obtained for different types of boundedness of solutions in the sense of Poisson, which are introduced in the paper.
Keywords: boundedness of solutions, boundedness of solutions in the sense of Poisson, Lyapunov function, partial boundedness of solutions, partially controllable initial conditions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation MK-139.2017.1
This work was supported by the Program of the President of the Russian Federation (grant No. MK-139.2017.1).
Received: 24.01.2017
Revised: 27.03.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 2, Pages 221–231
DOI: https://doi.org/10.1134/S0001434618010236
Bibliographic databases:
Document Type: Article
UDC: 517.925.54
Language: Russian
Citation: K. S. Lapin, “Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations and Lyapunov Functions”, Mat. Zametki, 103:2 (2018), 223–235; Math. Notes, 103:2 (2018), 221–231
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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