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Matematicheskie Zametki, 2021, Volume 109, Issue 4, paper published in the English version journal (Mi mzm13081)  
Papers published in the English version of the journal

Absence of Solutions for a System of Ordinary Differential Inequalities

Xiaohong Li, Haitao Wan, Xiliang Li

School of Mathematics and Information Science, Shandong Technology and Business University, Yantai, 264000 China
Abstract: We prove nonexistence theorems of nonnegative nontrivial solutions for a system of ordinary differential inequalities in bounded domains with singular points on the boundary. The proofs are based on the test function using a method developed by Mitidieri and Pohozaev. We also give the examples demonstrating that the conditions obtained are sharp in the case of the problem under consideration.
Keywords: system of ordinary differential inequalities, nonexistence Theorem,test function method.
Funding agency Grant number
National Natural Science Foundation of China 11971273
11771008
Shandong Province ZR2018MA004
This work was supported by the National Natural Science Foundation of China (no. 11971273, no. 11771008) and the Shandong Province Natural Science Foundation of China (no. ZR2018MA004).
Received: 09.08.2020
English version:
Mathematical Notes, 2021, Volume 109, Issue 4, Pages 600–608
DOI: https://doi.org/10.1134/S0001434621030299
Bibliographic databases:
Document Type: Article
Language: English
Citation: Xiaohong Li, Haitao Wan, Xiliang Li, “Absence of Solutions for a System of Ordinary Differential Inequalities”, Math. Notes, 109:4 (2021), 600–608
Citation in format AMSBIB
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\by Xiaohong~Li, Haitao~Wan, Xiliang~Li
\paper Absence of Solutions for a System of Ordinary Differential Inequalities
\jour Math. Notes
\yr 2021
\vol 109
\issue 4
\pages 600--608
\mathnet{http://mi.mathnet.ru/mzm13081}
\crossref{https://doi.org/10.1134/S0001434621030299}
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\elib{https://elibrary.ru/item.asp?id=46880307}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85109304145}
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