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This article is cited in 4 scientific papers (total in 4 papers)
Method of commutators for integration of a matrix Riccati equation
M. V. Neshchadimab, A. P. Chupakhinbc a Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia
c Lavrentyev Institute of Hydrodynamics SB RAS, pr. Akad. Lavrentyeva 15, Novosibirsk 630090, Russia
Abstract:
Complete integration is carried out of the matrix Riccati equation arising in continuum mechanics in the two-dimensional case. The method of commutators is used to obtain some compatibility conditions.
Keywords:
a matrix Riccati equation, commutator of differential operators.
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Received: 28.12.2020 Revised: 28.12.2020 Accepted: 28.12.2020
Citation:
M. V. Neshchadim, A. P. Chupakhin, “Method of commutators for integration of a matrix Riccati equation”, Sib. Zh. Ind. Mat., 24:1 (2021), 78–88; J. Appl. Industr. Math., 15:1 (2021), 78–86
Linking options:
https://www.mathnet.ru/eng/sjim1121 https://www.mathnet.ru/eng/sjim/v24/i1/p78
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