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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2015 Number 12, Pages 14–26 (Mi ivm9059)

This article is cited in 1 paper

Matrix Lagrange equations

V. P. Derevenskii

Chair of Higher Mathematics, Kazan State Architecture and Building University, 1 Zelyonaya str., Kazan, 420043 Russia

Abstract: In this paper that continues the study of matrix equations over skew series we give conditions of splitting of Lagrange matrix equation into a totality of scalar differential equations. We consider diagonal, triangle, nil-triangle and dual-triangle forms of its solution.

Keywords: ordinary differential equations, matrices, skew series.

UDC: 517.9

Received: 17.04.2014


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:12, 10–20

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