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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 3, Pages 674–680
DOI: https://doi.org/10.33048/smzh.2020.61.315 (Mi smj6010) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A generalized gronwall–bellman inequality

V. G. Romanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/smzh.2020.61.315
Abstract: Under study is the integral inequality that has as kernel a nonnegative polynomial in the powers of the difference of arguments and a large parameter $N$. We establish some inequality whose form agrees with the celebrated Gronwall–Bellman inequality in which the argument of the exponent depends linearly on $N$.
Keywords: integral inequality, Gronwall–Bellman lemma.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
The author was supported by the Mathematical Center in Akademgorodok under Agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation.
Received: 05.03.2020
Revised: 05.03.2020
Accepted: 08.04.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 3, Pages 532–537
DOI: https://doi.org/10.1134/S0037446620030155
Bibliographic databases:
Document Type: Article
UDC: 517.91
MSC: 35R30
Language: Russian
Citation: V. G. Romanov, “A generalized gronwall–bellman inequality”, Sibirsk. Mat. Zh., 61:3 (2020), 674–680; Siberian Math. J., 61:3 (2020), 532–537
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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