Geodesic
Krasnosel'skii canonical domains and the existence of non-negative Poisson bounded solutions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2022), pp. 10-17

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On the basis of the vector Lyapunov functions method and the Krasnoselskii method of canonical domains, a sufficient condition for the existence of non-negative Poisson bounded solutions is obtained. In addition, a sufficient condition for the existence of partially non-negative partially Poisson bounded solutions is obtained.
Keywords: vector Lyapunov function, Krasnosel'skii canonical domain, Poisson boundedness of solution, partial Poisson boundedness of solution, non-negativity of solution. 
@article{IVM_2022_7_a1,
     author = {K. S. Lapin},
     title = {Krasnosel'skii canonical domains and the existence of non-negative {Poisson} bounded solutions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {10--17},
     publisher = {mathdoc},
     number = {7},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_7_a1/}
}
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K. S. Lapin. Krasnosel'skii canonical domains and the existence of non-negative Poisson bounded solutions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2022), pp. 10-17. http://geodesic.mathdoc.fr/item/IVM_2022_7_a1/