This article is cited in 3 papers

New features of stability of linear systems of differential equations with constant coefficients

A. I. Perov

Chair of Nonlinear Oscillations, Voronezh State University, 1 Universitetskaya sq., Voronezh, 394036 Russia

Abstract: We consider stability for linear systems of differential equations with real constant coefficients whose matrices are off-diagonal non-negative. The results are applied to arbitrary linear systems of differential equations with complex constant coefficients.

Keywords: stability by Lyapunov, linear systems of differential equations with constant coefficients, non-negative and off-diagonal non-negative matrices.

UDC: 517.926

Received: 13.03.2013

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:9, 41–48

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