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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 2, Pages 19–26
DOI: https://doi.org/10.26907/0021-3446-2021-2-19-26 (Mi ivm9645) 		 
Vector Lyapunov functions, complete sets of guiding functions, and the existence of Poisson bounded solutions

K. S. Lapin

Mordovian State Pedagogical Institute named after M.E. Evseviev, 11 A Studencheskaya str., Saransk, 430007 Russia
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DOI: https://doi.org/10.26907/0021-3446-2021-2-19-26
Abstract: Based on the synthesis of the method of vector Lyapunov functions and the method of complete sets of guiding functions we obtain sufficient conditions for the existence of Poisson bounded solutions, as well as sufficient conditions of the existence of partially Poisson bounded solutions of systems of differential equations.
Keywords: vector Lyapunov function, rotation of the vector field, guiding function, complete sets of guiding functions, Poisson boundedness of solution, partial Poisson boundedness of solution.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation МК-211.2020.1
Received: 05.04.2020
Revised: 05.04.2020
Accepted: 29.06.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 2, Pages 15–21
DOI: https://doi.org/10.3103/S1066369X2102002X
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: K. S. Lapin, “Vector Lyapunov functions, complete sets of guiding functions, and the existence of Poisson bounded solutions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 2, 19–26; Russian Math. (Iz. VUZ), 65:2 (2021), 15–21
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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