Ultimate Boundedness in the Sense of Poisson of Solutions~to~Systems~of~Differential Equations and Lyapunov Functions
Matematičeskie zametki, Tome 103 (2018) no. 2, pp. 223-235

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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.
@article{MZM_2018_103_2_a5,
     author = {K. S. Lapin},
     title = {Ultimate {Boundedness} in the {Sense} of {Poisson} of {Solutions~to~Systems~of~Differential} {Equations} and {Lyapunov} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {223--235},
     publisher = {mathdoc},
     volume = {103},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_2_a5/}
}
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K. S. Lapin. Ultimate Boundedness in the Sense of Poisson of Solutions~to~Systems~of~Differential Equations and Lyapunov Functions. Matematičeskie zametki, Tome 103 (2018) no. 2, pp. 223-235. http://geodesic.mathdoc.fr/item/MZM_2018_103_2_a5/