Geodesic
Lyapunov Functions, Krasnosel'skii Canonical Domains, and the Existence of Poisson Bounded Solutions
Matematičeskie zametki, Tome 108 (2020) no. 5, pp. 750-756

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The notions of Poisson boundedness and Poisson partial boundedness of solutions of systems are introduced. Based on the Lyapunov function method and Krasnosel'skii's method of canonical domains, a sufficient condition for the existence of Poisson bounded solutions is obtained.
Keywords: Poisson bounded solution, partially bounded solution, Lyapunov function, Krasnosel'skii canonical domain.
Mots-clés : existence of solutions 
@article{MZM_2020_108_5_a8,
     author = {K. S. Lapin},
     title = {Lyapunov {Functions,} {Krasnosel'skii} {Canonical} {Domains,} and the {Existence} of {Poisson} {Bounded} {Solutions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {750--756},
     publisher = {mathdoc},
     volume = {108},
     number = {5},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_108_5_a8/}
}
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K. S. Lapin. Lyapunov Functions, Krasnosel'skii Canonical Domains, and the Existence of Poisson Bounded Solutions. Matematičeskie zametki, Tome 108 (2020) no. 5, pp. 750-756. http://geodesic.mathdoc.fr/item/MZM_2020_108_5_a8/