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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 518, Pages 18–21
DOI: https://doi.org/10.31857/S2686954324040039 (Mi danma545) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

On a Dini type blow-up condition for solutions of higher order nonlinear differential inequalities

A. A. Kon'kovab, A. E. Shishkovc

a Lomonosov Moscow State University, Moscow, Russian Federation
b Moscow Center for Fundamental and Applied Mathematics
c Peoples' Friendship University of Russia named after Patrice Lumumba, Moscow
Full-text PDF Citations (2)
DOI: https://doi.org/10.31857/S2686954324040039
Abstract: We obtain a Dini type blow-up condition for solutions of the differential inequality
$$ \sum_{|\alpha|=m}\partial^\alpha a_\alpha(x,u)\geq g(|u|) \quad\text{in}\quad\mathbb R^n, $$
where $m,n\geq1$ – are integers and $a_\alpha$ and $g$ – are some functions.
Keywords: higher order differential inequalities, nonlinearity, blow-up.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics 075-15-2022-284
Russian Science Foundation 20-11-20272-П
23-11-00056
The first author’s work was supported by the Ministry of Education and Science of the Russian Federation within the framework of the program of the Moscow Center of Fundamental and Applied Mathematics, agreement no. 075-15-2022-284 (critical exponents) and by the Russian Science Foundation, project no. 20-11-20272-P (estimates for global solutions). The second author’s work was supported by the Russian Science Foundation, project no. 23-11-00056 (asymptotic properties of solutions).
Presented: V. V. Kozlov
Received: 16.05.2024
Revised: 05.07.2024
Accepted: 05.07.2024
English version:
Doklady Mathematics, 2024, Volume 110, Issue 1, Pages 308–311
DOI: https://doi.org/10.1134/S1064562424601276
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. A. Kon'kov, A. E. Shishkov, “On a Dini type blow-up condition for solutions of higher order nonlinear differential inequalities”, Dokl. RAN. Math. Inf. Proc. Upr., 518 (2024), 18–21; Dokl. Math., 110:1 (2024), 308–311
Citation in format AMSBIB
\Bibitem{KonShi24}
\by A.~A.~Kon'kov, A.~E.~Shishkov
\paper On a Dini type blow-up condition for solutions of higher order nonlinear differential inequalities
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 518
\pages 18--21
\mathnet{http://mi.mathnet.ru/danma545}
\crossref{https://doi.org/10.31857/S2686954324040039}
\elib{https://elibrary.ru/item.asp?id=74176072}
\transl
\jour Dokl. Math.
\yr 2024
\vol 110
\issue 1
\pages 308--311
\crossref{https://doi.org/10.1134/S1064562424601276}
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    • This publication is cited in the following 2 articles:
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