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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2018 Volume 103, Issue 2, Pages 223–235 (Mi mzm11537)

This article is cited in 9 papers

Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations and Lyapunov Functions

K. S. Lapin

Mordovian State Pedagogical Institute, Saransk

Abstract: The notions of different types of boundedness in the sense of Poisson of solutions to systems of differential equations are introduced. Sufficient conditions are obtained for different types of boundedness of solutions in the sense of Poisson, which are introduced in the paper.

Keywords: boundedness of solutions, boundedness of solutions in the sense of Poisson, Lyapunov function, partial boundedness of solutions, partially controllable initial conditions.

UDC: 517.925.54

Received: 24.01.2017
Revised: 27.03.2017

DOI: 10.4213/mzm11537


 English version:
Mathematical Notes, 2018, 103:2, 221–231

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© Steklov Math. Inst. of RAS, 2024