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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2019 Number 8, Pages 21–30 (Mi ivm9489)

This article is cited 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

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.

UDC: 517.925

Received: 13.06.2018
Revised: 13.06.2018
Accepted: 26.09.2018

DOI: 10.26907/0021-3446-2019-8-21-30


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, 63:8, 17–24

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© Steklov Math. Inst. of RAS, 2024