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., 2018, Volume 9, Number 4,Pages <nobr>82–90</nobr>

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Eurasian Math. J., 2018 Volume 9, Number 4, Pages 82–90 (Mi emj314)

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

V. M. Savchin^a, S. A. Budochkina^a, Yake Gondo^b, A. V. Slavko^c

^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

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.

MSC: 49D29, 35A15

Received: 27.06.2017

Language: English

DOI: 10.32523/2077-9879-2018-9-4-82-90

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© Steklov Math. Inst. of RAS, 2024