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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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.
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