Geodesic
Poisson Total Boundedness of Solutions of Systems of Differential Equations and Lyapunov Vector Functions
Matematičeskie zametki, Tome 104 (2018) no. 2, pp. 243-254

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We introduce the notions of Poisson total boundedness of solutions, partial Poisson total boundedness of solutions, and partial Poisson total boundedness of solutions with partly controlled initial conditions. We use the Lyapunov vector function method to obtain sufficient conditions for the Poisson total boundedness of solutions, the partial Poisson total boundedness of solutions, and the partial Poisson total boundedness of solutions with partly controlled initial conditions. As a consequence, we obtain sufficient conditions for the above-mentioned kinds of Poisson total boundedness of solutions based on the Lyapunov function method.
Keywords: boundedness of solutions, Poisson total boundedness of solutions, Lyapunov vector function, partial boundedness of solutions, partly controlled initial conditions. 
@article{MZM_2018_104_2_a7,
     author = {K. S. Lapin},
     title = {Poisson {Total} {Boundedness} of {Solutions} of {Systems} of {Differential} {Equations} and {Lyapunov} {Vector} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {243--254},
     publisher = {mathdoc},
     volume = {104},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_2_a7/}
}
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K. S. Lapin. Poisson Total Boundedness of Solutions of Systems of Differential Equations and Lyapunov Vector Functions. Matematičeskie zametki, Tome 104 (2018) no. 2, pp. 243-254. http://geodesic.mathdoc.fr/item/MZM_2018_104_2_a7/