Geodesic
Application of M-matrices in construction of exponential estimates for solutions to the Cauchy problem for systems of linear difference and differential equations
Matematičeskie trudy, Tome 16 (2013) no. 2, pp. 111-141.

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We construct a family of exponential estimates for solutions to the Cauchy problem for systems of linear difference and ordinary differential equations and differential equations with aftereffect whose matrices are of a special form. We use the monotone method and properties of nondegenerate M-matrices. We also study some specific examples of systems of equations. 
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N. V. Pertsev. Application of M-matrices in construction of exponential estimates for solutions to the Cauchy problem for systems of linear difference and differential equations. Matematičeskie trudy, Tome 16 (2013) no. 2, pp. 111-141. http://geodesic.mathdoc.fr/item/MT_2013_16_2_a7/

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