Geodesic
Partial Total Boundedness of Solutions to Systems of Differential Equations with Partly Controlled Initial Conditions
Matematičeskie zametki, Tome 99 (2016) no. 2, pp. 239-247

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The notions of partial total boundedness of solutions with partially controlled initial conditions and of partial total equiboundedness of solutions with partially controlled initial conditions are introduced. The direct Lyapunov method and the method of Lyapunov vector functions are used to obtain sufficient conditions for these types of boundedness of the solutions.
Keywords: partial total boundedness, partial total equiboundedness, Lyapunov method, partially controlled initial conditions, stability, equilibrium. 
@article{MZM_2016_99_2_a6,
     author = {K. S. Lapin},
     title = {Partial {Total} {Boundedness} of {Solutions} to {Systems} of {Differential} {Equations} with {Partly} {Controlled} {Initial} {Conditions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {239--247},
     publisher = {mathdoc},
     volume = {99},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_2_a6/}
}
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K. S. Lapin. Partial Total Boundedness of Solutions to Systems of Differential Equations with Partly Controlled Initial Conditions. Matematičeskie zametki, Tome 99 (2016) no. 2, pp. 239-247. http://geodesic.mathdoc.fr/item/MZM_2016_99_2_a6/