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.
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The authors were supported by the Programs of Basic Research nos. III.22.4.1 and I.1.5 (project no. 0314–2019–0011) of the Siberian Branch of the Russian Academy of Sciences.
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Translated by L.B. Vertgeim
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Neshchadim, M.V., Chupakhin, A.P. Method of Commutators for Integration of a Matrix Riccati Equation. J. Appl. Ind. Math. 15, 78–86 (2021). https://doi.org/10.1134/S1990478921010075
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DOI: https://doi.org/10.1134/S1990478921010075