Higher Lyapunov functions derivatives and total Poisson boundedness of solutions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2019), pp. 21-30
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Using the method of higher Lyapunov derivatives we obtain sufficient conditions for total Poisson boundedness of solutions, partial total Poisson boundedness of solutions, and partial total Poisson boundedness of solutions with partially controlled initial conditions.
Keywords:
higher-order derivatives, Lyapunov function, total boundedness of solutions, Poisson boundedness of solutions, partially controlled initial conditions.
@article{IVM_2019_8_a2,
author = {K. S. Lapin},
title = {Higher {Lyapunov} functions derivatives and total {Poisson} boundedness of solutions},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {21--30},
publisher = {mathdoc},
number = {8},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2019_8_a2/}
}
K. S. Lapin. Higher Lyapunov functions derivatives and total Poisson boundedness of solutions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2019), pp. 21-30. http://geodesic.mathdoc.fr/item/IVM_2019_8_a2/