Geodesic
Guiding functional families, Lyapunov vector functions, and the existence of Poisson bounded solutions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2021), pp. 31-39

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On the basis of the method of guiding functional families and the method of Lyapunov vector functions we obtain sufficient condition for the existence of Poisson bounded solutions, as well as a sufficient condition for the existence of partially Poisson bounded solutions of systems of differential equations.
Keywords: vector Lyapunov function, rotation of the vector field, guiding function, guiding function, guiding functional family, Poisson boundedness of solution, partial Poisson boundedness of solution. 
@article{IVM_2021_9_a3,
     author = {K. S. Lapin},
     title = {Guiding functional families, {Lyapunov} vector functions, and the existence of {Poisson} bounded solutions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {31--39},
     publisher = {mathdoc},
     number = {9},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_9_a3/}
}
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K. S. Lapin. Guiding functional families, Lyapunov vector functions, and the existence of Poisson bounded solutions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2021), pp. 31-39. http://geodesic.mathdoc.fr/item/IVM_2021_9_a3/