Geodesic
Vector Lyapunov Functions and Ultimate Poisson Boundedness of Solutions of Systems of Differential Equations
Matematičeskie zametki, Tome 104 (2018) no. 1, pp. 74-86

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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. 
@article{MZM_2018_104_1_a7,
     author = {K. S. Lapin},
     title = {Vector {Lyapunov} {Functions} and {Ultimate} {Poisson} {Boundedness} of {Solutions} of {Systems} of {Differential} {Equations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {74--86},
     publisher = {mathdoc},
     volume = {104},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_1_a7/}
}
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K. S. Lapin. Vector Lyapunov Functions and Ultimate Poisson Boundedness of Solutions of Systems of Differential Equations. Matematičeskie zametki, Tome 104 (2018) no. 1, pp. 74-86. http://geodesic.mathdoc.fr/item/MZM_2018_104_1_a7/