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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 6, Pages 1383–1388
DOI: https://doi.org/10.17377/smzh.2018.59.613 (Mi smj3051) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Higher-order derivatives of Lyapunov functions and ultimate boundedness in the sense of Poisson of solutions to systems of differential equations

K. S. Lapin

Mordovian State Pedagogical Institute named after M. E. Evseviev, Saransk, Russia
Full-text PDF (268 kB) Citations (3)
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DOI: https://doi.org/10.17377/smzh.2018.59.613
Abstract: Using the higher-order derivatives of Lyapunov functions, we obtain sufficient tests of various types for the uniform-ultimate boundedness in the sense of Poisson of solutions and various types of equiultimate boundedness of solutions in the sense of Poisson.
Keywords: Lyapunov function, uniform-ultimate boundedness, equiultimate boundedness, higherorder derivatives, partially controlled initial conditions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-139.2017.1
The author was supported by the President of the Russian Federation (Grant MK-139.2017.1).
Received: 15.02.2018
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 6, Pages 1100–1104
DOI: https://doi.org/10.1134/S0037446618060137
Bibliographic databases:
Document Type: Article
UDC: 517.925.54
MSC: 35R30
Language: Russian
Citation: K. S. Lapin, “Higher-order derivatives of Lyapunov functions and ultimate boundedness in the sense of Poisson of solutions to systems of differential equations”, Sibirsk. Mat. Zh., 59:6 (2018), 1383–1388; Siberian Math. J., 59:6 (2018), 1100–1104
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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