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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 7, Pages 10–17
DOI: https://doi.org/10.26907/0021-3446-2022-7-10-17 (Mi ivm9789) 		 
Krasnosel'skii canonical domains and the existence of non-negative Poisson bounded solutions

K. S. Lapin

Mordovian State Pedagogical University named after M.E. Evseviev, 11 А Studencheskaya str., Saransk, 430007 Russia
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DOI: https://doi.org/10.26907/0021-3446-2022-7-10-17
Abstract: 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.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation МК-211.2020.1
Received: 29.08.2021
Revised: 12.10.2021
Accepted: 23.12.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 7, Pages 7–13
DOI: https://doi.org/10.3103/S1066369X22070052
Document Type: Article
UDC: 517.925
Language: Russian
Citation: K. S. Lapin, “Krasnosel'skii canonical domains and the existence of non-negative Poisson bounded solutions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 7, 10–17; Russian Math. (Iz. VUZ), 66:7 (2022), 7–13
Citation in format AMSBIB
\Bibitem{Lap22}
\by K.~S.~Lapin
\paper Krasnosel'skii canonical domains and the existence of non-negative Poisson bounded solutions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 7
\pages 10--17
\mathnet{http://mi.mathnet.ru/ivm9789}
\crossref{https://doi.org/10.26907/0021-3446-2022-7-10-17}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 7
\pages 7--13
\crossref{https://doi.org/10.3103/S1066369X22070052}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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