Geodesic
On stability of some differential systems with delay
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 97-98.

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An effective analytical description of stability regions is received for some classes of autonomous differential systems of second order with delay. For each region its equivalent geometrical interpretation as a set in the space of parameters of the input problem is obtained.
Keywords: systems of linear differential equations with delay, exponential stability, effective signs. 
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M. V. Mulyukov. On stability of some differential systems with delay. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 97-98. http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a45/

[1] Azbelev N.V., Simonov P.M., Ustoichivost reshenii uravnenii s obyknovennymi proizvodnymi, izd-vo Permsk. un-ta, Perm, 2001, 230 pp.

[2] Alpin Yu.A., Koreshkov N.A., “Ob odnovremennoi triangulizuemosti matrits”, Matematicheskie zametki, 68:5 (2000), 648–652 | DOI | MR | Zbl

[3] Khokhlova T., Kipnis M., Malygina V., “The stability cone for a delay differential matrix equation”, Applied Mathematics, 2011, Letters 24, 742–745 | MR | Zbl

[4] Elsgolts L.E., Norkin S.B., Vvedenie v teoriyu differentsialnykh uravnenii s otklonyayuschimsya argumentom, Nauka, M., 1971, 296 pp.

[5] Postnikov M.M., Ustoichivye mnogochleny, 2-e izd, stereotipnoe, Editorial URSS, M., 2004, 176 pp.