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Matematicheskie Zametki, 2016, Volume 99, Issue 2, Pages 239–247
DOI: https://doi.org/10.4213/mzm10876 (Mi mzm10876) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Partial Total Boundedness of Solutions to Systems of Differential Equations with Partly Controlled Initial Conditions

K. S. Lapin

Mordovian State Pedagogical Institute, Saransk
Full-text PDF (409 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm10876
Abstract: The notions of partial total boundedness of solutions with partially controlled initial conditions and of partial total equiboundedness of solutions with partially controlled initial conditions are introduced. The direct Lyapunov method and the method of Lyapunov vector functions are used to obtain sufficient conditions for these types of boundedness of the solutions.
Keywords: partial total boundedness, partial total equiboundedness, Lyapunov method, partially controlled initial conditions, stability, equilibrium.
Received: 20.04.2015
Revised: 10.09.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 2, Pages 253–260
DOI: https://doi.org/10.1134/S0001434616010272
Bibliographic databases:
Document Type: Article
UDC: 517.925.54
Language: Russian
Citation: K. S. Lapin, “Partial Total Boundedness of Solutions to Systems of Differential Equations with Partly Controlled Initial Conditions”, Mat. Zametki, 99:2 (2016), 239–247; Math. Notes, 99:2 (2016), 253–260
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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