Geodesic
A qualitative investigation of stable first-order differential equations with variable retardation
Izvestiya. Mathematics, Tome 4 (1970) no. 1, pp. 159-178 Cet article a éte moissonné depuis la source Math-Net.Ru

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The article is devoted to several theorems concerning the comparison of solutions (§ 2); the theorems yield conditions for boundedness (§ 3), tendency to zero, and stability of the trivial solution (§ 4); positive solutions are identified (§ 5), equations with a constant retardation are studied (§ 6), and the asymptotic behavior of the solutions is investigated (§ 7). 
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     title = {A qualitative investigation of stable first-order differential equations with variable retardation},
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V. G. Limanskii. A qualitative investigation of stable first-order differential equations with variable retardation. Izvestiya. Mathematics, Tome 4 (1970) no. 1, pp. 159-178. http://geodesic.mathdoc.fr/item/IM2_1970_4_1_a8/

[1] Myshkis A. D., “O resheniyakh lineinykh odnorodnykh differentsialnykh uravnenii pervogo poryadka ustoichivogo tipa s zapazdyvayuschim argumentom”, Matem. sb., 28 (1951), 641–658 | Zbl

[2] Krasovskii N. N., Nekotorye zadachi teorii ustoichivosti dvizheniya, Fizmatgiz, M., 1959 | MR

[3] Elsgolts L. E., Kachestvennye metody v matematicheskom analize, Gostekhizdat, M., 1955

[4] Limanskii V. G., “Ob odnom nelineinom differentsialnom uravnenii s zapazdyvayuschim argumentom”, 3-ya nauchnaya konferentsiya fakulteta fiz.-matem. i estestv. nauk, Un-t druzhby narodov im. P. Lumumby, 1967, 66–68

[5] Myshkis A. D., Lineinye differentsialnye uravneniya s zapazdyvayuschim argumentom, GITTL, M., L., 1951