Geodesic
On sufficient conditions of exponential stability for a autonomоus equation with aftereffect
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 8-9.

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The effective sufficient conditions of exponential stability are proposed for an autonomоus linear differential equation with some delays.
Keywords: differential difference equation, exponential stability, fundamental solution. 
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A. S. Balandin. On sufficient conditions of exponential stability for a autonomоus equation with aftereffect. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 8-9. http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a2/

[1] Azbelev N.V., Maksimov V.P., Rakhmatullina L.F., Vvedenie v teoriyu funktsionalno-differentsialnykh uravnenii, Nauka, M., 1991, 280 pp.

[2] Levitskaya I.S., “Stability domain of a linear differential equation with two delays”, Computers and Math. with Appl., 51:1 (2006), 153–159 | DOI | MR | Zbl

[3] Vaguina M.Yu., Kipnis M.M., “Stability of the zero solution of delay differential equations”, Math. Notes, 74:5 (2003), 740–743 | DOI | MR | Zbl

[4] Andronov A.A., Maier A.T., “Prosteishie lineinye sistemy s zapazdyvaniem”, Avtomatika i telemekhanika, 7:2, 3 (1946), 95–106 | MR | Zbl

[5] de Oliveira J.C.F., Carvalho L.A.V., “A Lyapunov functional for a retarded differential equation”, SIAM. J. Math. Anal., 1985, no. 16, 1295–1305 | DOI | MR | Zbl