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Matematicheskie Zametki, 2018, Volume 104, Issue 1, Pages 74–86
DOI: https://doi.org/10.4213/mzm11622 (Mi mzm11622) 		 
This article is cited in 4 scientific papers (total in 4 papers)

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

K. S. Lapin

Mordovian State Pedagogical Institute, Saransk
Full-text PDF (450 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11622
Abstract: Various forms of uniform-ultimate Poisson boundedness of solutions and of ultimate Poisson equiboundedness of solutions are introduced. Sufficient conditions for various forms of uniform-ultimate Poisson boundedness and of ultimate Poisson equiboundedness of solutions are obtained by using the method of vector Lyapunov functions.
Keywords: boundedness of solutions, Poisson boundedness of solutions, vector Lyapunov function, partial boundedness of solutions, partially controlled initial conditions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-139.2017.1
This work was supported by the grant MK-139.2017.1 of the President of the Russian Federation.
Received: 02.04.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 1, Pages 63–73
DOI: https://doi.org/10.1134/S0001434618070088
Bibliographic databases:
Document Type: Article
UDC: 517.925.54
Language: Russian
Citation: K. S. Lapin, “Vector Lyapunov Functions and Ultimate Poisson Boundedness of Solutions of Systems of Differential Equations”, Mat. Zametki, 104:1 (2018), 74–86; Math. Notes, 104:1 (2018), 63–73
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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