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

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Abstract

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

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Correspondence to A. I. Perov.

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Original Russian Text © A.I. Perov, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 9, pp. 49–58.

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Perov, A.I. New features of stability of linear systems of differential equations with constant coefficients. Russ Math. 58, 41–48 (2014). https://doi.org/10.3103/S1066369X14090059

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