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Sibirskii Zhurnal Industrial'noi Matematiki, 2015, Volume 18, Number 2, Pages 36–47
DOI: https://doi.org/10.17377/sibjim.2015.18.204 (Mi sjim880) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The method of differential relations and nonlinear inverse problems

Yu. E. Anikonovab, M. V. Neshchadimba

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk
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DOI: https://doi.org/10.17377/sibjim.2015.18.204
Abstract: We apply the method of differential relations to the study of some inverse problems for nonlinear one-dimensional differential equations of a general type including the classical equations of soliton theory. We also consider the problem of finding a potential for an equation of continuum mechanics in the one-dimensional case in presence of some differential relation.
Keywords: inverse problems, nonlinear equations, soliton, presentations of solutions.
Received: 16.10.2014
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 3, Pages 317–327
DOI: https://doi.org/10.1134/S1990478915030035
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: Yu. E. Anikonov, M. V. Neshchadim, “The method of differential relations and nonlinear inverse problems”, Sib. Zh. Ind. Mat., 18:2 (2015), 36–47; J. Appl. Industr. Math., 9:3 (2015), 317–327
Citation in format AMSBIB
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\paper The method of differential relations and nonlinear inverse problems
\jour Sib. Zh. Ind. Mat.
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\pages 36--47
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3549826}
\elib{https://elibrary.ru/item.asp?id=23598675}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 3
\pages 317--327
\crossref{https://doi.org/10.1134/S1990478915030035}
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    • This publication is cited in the following 4 articles:
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