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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 8, Pages 21–30
DOI: https://doi.org/10.26907/0021-3446-2019-8-21-30 (Mi ivm9489) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Higher Lyapunov functions derivatives and total Poisson boundedness of solutions

K. S. Lapin

Mordovian State Pedagogical Institute named after M.E. Evseviev, 11a Studencheskaya str., Saransk, 430007 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-8-21-30
Abstract: Using the method of higher Lyapunov derivatives we obtain sufficient conditions for total Poisson boundedness of solutions, partial total Poisson boundedness of solutions, and partial total Poisson boundedness of solutions with partially controlled initial conditions.
Keywords: higher-order derivatives, Lyapunov function, total boundedness of solutions, Poisson boundedness of solutions, partially controlled initial conditions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-139.2017.1
Received: 13.06.2018
Revised: 13.06.2018
Accepted: 26.09.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 8, Pages 17–24
DOI: https://doi.org/10.3103/S1066369X19080036
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: K. S. Lapin, “Higher Lyapunov functions derivatives and total Poisson boundedness of solutions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 8, 21–30; Russian Math. (Iz. VUZ), 63:8 (2019), 17–24
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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