Geodesic
A criterion of partial stability for a linear system of differential-difference equations
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 25 (2002) no. 2, pp. 103-106

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The asymptotical partial stability problem for a solution of a differential-difference equation with a constant matrix is considered. It is reduced to the analysis of situation of zeros of a polynomial defined by the system matrix. This polynomial can be constructed effectively. 
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K. M. Chudinov. A criterion of partial stability for a linear system of differential-difference equations. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 25 (2002) no. 2, pp. 103-106. http://geodesic.mathdoc.fr/item/IIMI_2002_25_2_a30/