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Eurasian Mathematical Journal, 2018, Volume 9, Number 4, Pages 82–90
DOI: https://doi.org/10.32523/2077-9879-2018-9-4-82-90 (Mi emj314) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the connection between first integrals, integral invariants and potentiality of evolutionary equations

V. M. Savchina, S. A. Budochkinaa, Yake Gondob, A. V. Slavkoc

a S.M. Nikol'skii Mathematical Institute, Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Street, Moscow, 117198, Russian Federation
b Laboratory of Fundamental Mathematics, Unity of Research and Training in Mathematics and Informatics, Felix Houphouet Boigny University, 22 BP 582 Abidjan 22-Abidjan, Cote d'Ivoire – West Africa
c Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Street, Moscow, 117198, Russian Federation
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DOI: https://doi.org/10.32523/2077-9879-2018-9-4-82-90
Abstract: Using methods of nonlinear analysis, we have established the connection between first integrals and absolute integral invariants of some evolutionary equations similarly to the case of dynamics of finite dimensional systems.
Keywords and phrases: first integrals, absolute integral invariants, evolutionary equations.
Funding agency Grant number
Russian Foundation for Basic Research 16-08-00558_a
16-01-00450_a
Ministry of Education and Science of the Russian Federation
The publication has been prepared with the partial support of the "RUDN University Program 5-100" and funded by RFBR (projects No. 16-01-00450_a and no. 16-08-00558_a).
Received: 27.06.2017
Bibliographic databases:
Document Type: Article
MSC: 49D29, 35A15
Language: English
Citation: V. M. Savchin, S. A. Budochkina, Yake Gondo, A. V. Slavko, “On the connection between first integrals, integral invariants and potentiality of evolutionary equations”, Eurasian Math. J., 9:4 (2018), 82–90
Citation in format AMSBIB
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\paper On the connection between first integrals, integral invariants and potentiality of evolutionary equations
\jour Eurasian Math. J.
\yr 2018
\vol 9
\issue 4
\pages 82--90
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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