This article is cited in 5 papers

Vector Lyapunov Functions and Ultimate Poisson Boundedness of Solutions of Systems of Differential Equations

K. S. Lapin

Mordovian State Pedagogical Institute, Saransk

Abstract: Various forms of uniform-ultimate Poisson boundedness of solutions and of ultimate Poisson equiboundedness of solutions are introduced. Sufficient conditions for various forms of uniform-ultimate Poisson boundedness and of ultimate Poisson equiboundedness of solutions are obtained by using the method of vector Lyapunov functions.

Keywords: boundedness of solutions, Poisson boundedness of solutions, vector Lyapunov function, partial boundedness of solutions, partially controlled initial conditions.

UDC: 517.925.54

Received: 02.04.2017

DOI: 10.4213/mzm11622

 English version: Mathematical Notes, 2018, 104:1, 63–73

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