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
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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 $({}^1)$.
@article{IM2_1970_4_2_a10,
author = {Z. I. Rekhlitskii},
title = {Stability tests for the solutions of linear operator equations with discrete and continuous lags in the arguments},
journal = {Izvestiya. Mathematics},
pages = {465--477},
year = {1970},
volume = {4},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1970_4_2_a10/}
}
TY - JOUR AU - Z. I. Rekhlitskii TI - Stability tests for the solutions of linear operator equations with discrete and continuous lags in the arguments JO - Izvestiya. Mathematics PY - 1970 SP - 465 EP - 477 VL - 4 IS - 2 UR - http://geodesic.mathdoc.fr/item/IM2_1970_4_2_a10/ LA - en ID - IM2_1970_4_2_a10 ER -
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/
[1] Rekhlitskii Z. I., “Ob ustoichivosti reshenii nekotorykh operatornykh uravnenii s zapazdyvayuschimi argumentami”, Izv. AN SSSR. Ser. matem., 31 (1967), 391–400