M. V. Neshchadim, A. P. Chupakhin, “Method of commutators for integration of a matrix Riccati equation ”, Sib. Zh. Ind. Mat., 2021, Volume 24, Number 1,Pages <nobr>78

This article is cited in 4 papers

Method of commutators for integration of a matrix Riccati equation

M. V. Neshchadim^ab, A. P. Chupakhin^bc

^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. .

UDC: 517.9

Received: 28.12.2020
Revised: 28.12.2020
Accepted: 28.12.2020

DOI: 10.33048/SIBJIM.2021.24.106