Geodesic
Asymptotical theory of linear systems with delays
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2006), pp. 21-26 
T. S. Bykova; E. L. Tonkov. Asymptotical theory of linear systems with delays. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2006), pp. 21-26. http://geodesic.mathdoc.fr/item/IIMI_2006_2_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that linear system with aftereffect on each finite-dimensional subspace of solutions with finite Lyapunov index is asimptotically homothetic under natral assumptions to a system of ordinary differential equations. The problem of the uniform exponential stability of a system with aftereffect is studied.

[1] Bykova T. S., Tonkov E. L., “Lyapunovskaya privodimost lineinoi sistemy s posledeistviem”, Differentsialnye uravneniya, 39:6 (2003), 731–737 | MR | Zbl

[2] Bykova T. S., Tonkov E. L., “Privodimost lineinoi sistemy s posledeistviem”, Trudy Instituta matematiki i mekhaniki UrO RAN, 11, no. 1, Ekaterinburg, 2005, 53–64