Geodesic
Stability tests for the solutions of linear operator equations with discrete and continuous lags in the arguments
Izvestiya. Mathematics, Tome 4 (1970) no. 2, pp. 465-477 
Z. I. Rekhlitskii. Stability tests for the solutions of linear operator equations with discrete and continuous lags in the arguments. Izvestiya. Mathematics, Tome 4 (1970) no. 2, pp. 465-477. http://geodesic.mathdoc.fr/item/IM2_1970_4_2_a10/
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     title = {Stability tests for the solutions of linear operator equations with discrete and continuous lags in the arguments},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Necessary and sufficient criteria are established for the exponential growth (in particular, boundedness) of the solutions of equations (1)–(2). The results obtained generalize the contents of $({}^1)$.

[1] Rekhlitskii Z. I., “Ob ustoichivosti reshenii nekotorykh operatornykh uravnenii s zapazdyvayuschimi argumentami”, Izv. AN SSSR. Ser. matem., 31 (1967), 391–400