@article{TSP_2006_25_25_a10,
author = {I. N. Sergeev},
title = {Definition and properties of characteristic frequencies of a linear equation},
journal = {Trudy Seminara im. I.G. Petrovskogo},
pages = {249--294},
year = {2006},
volume = {25},
number = {25},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TSP_2006_25_25_a10/}
}
I. N. Sergeev. Definition and properties of characteristic frequencies of a linear equation. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 25 (2006) no. 25, pp. 249-294. http://geodesic.mathdoc.fr/item/TSP_2006_25_25_a10/
[1] Filippov A. F., Vvedenie v teoriyu differentsialnykh uravnenii, Editorial URSS, M., 2004
[2] Arnold V. I., Obyknovennye differentsialnye uravneniya, Nauka, M., 1984 | MR
[3] Bylov B. F., Vinograd R. E., Grobman D. M., Nemytskii V. V., Teoriya pokazatelei Lyapunova i ee prilozheniya k voprosam ustoichivosti, Nauka, M., 1966 | MR | Zbl
[4] Levin A. Yu., “Neostsillyatsiya reshenii uravneniya $x^{(n)}+p_1(t)x^{(n-1)}+\ldots+p_n(t)x=0$”, UMN, 24:2 (1969), 43–96 | MR
[5] Korshikova N. L. O nulyakh reshenii odnogo klassa lineinykh uravnenii $n$-go poryadka, Differents. uravn., 15:5 (1985), 757–764 | MR
[6] Astashova I. V., “Ravnomernye otsenki polozhitelnykh reshenii kvazilineinykh differentsialnykh uravnenii chetnogo poryadka”, Tr. seminara im. I. G. Petrovskogo, 25 (2006), 3–17 | MR | Zbl
[7] Millionschikov V. M. Dokazatelstvo dostizhimosti tsentralnykh pokazatelei, Sib. mat. zhurn., 10:1 (1969), 99–104
[8] Bylov B. F., Izobov N. A. Neobkhodimye i dostatochnye usloviya ustoichivosti kharakteristicheskikh pokazatelei lineinoi sistemy, Differents. uravn., 5:10 (1969), 1794–1803 | MR | Zbl
[9] Izobov N. A. O mnozhestve nizhnikh pokazatelei lineinoi differentsialnoi sistemy, Differents. uravn., 1:4 (1965), 469–477 | MR | Zbl
[10] Izobov N. A., “Lineinye sistemy obyknovennykh differentsialnykh uravnenii”, Itogi nauki i tekhniki. Matematicheskii analiz, 12, VINITI, M., 1974, 71–146 | MR
[11] Dib K. A. Odnovremennaya dostizhimost tsentralnykh pokazatelei, Differents. uravn., 10:12 (1974), 2125–2136 | MR
[12] Barabanov E. A. Stroenie mnozhestva nizhnikh pokazatelei lineinykh differentsialnykh sistem, Differents. uravn., 25:12 (1989), 1084–1085 | MR
[13] Sergeev I. N. K teorii pokazatelei Lyapunova lineinykh sistem differentsialnykh uravnenii, Tr. seminara im. I. G. Petrovskogo, 1983, no. 9, 111–166 | MR | Zbl
[14] Sergeev I. N., “O nizhnikh kharakteristicheskikh pokazatelyakh Perrona lineinykh sistem”, Mezhdunarodnaya konferentsiya, posvyaschennaya 103-letiyu so dnya rozhdeniya I. G. Petrovskogo: Tez. dokl., Izd-vo Mosk. un-ta, M., 2004, 199–200
[15] Sergeev I. N., “Opredelenie kharakteristicheskikh chastot lineinogo uravneniya”, Differents. uravn., 40:11 (2004), 1573 | MR | Zbl
[16] Sergeev I. N., “Podvizhnost kharakteristicheskikh chastot lineinogo uravneniya pri ravnomerno malykh i beskonechno malykh vozmuscheniyakh”, Differents. uravn., 40:11 (2004), 1576 | MR
[17] Sergeev I. N., “O klassakh Bera kharakteristicheskikh chastot lineinogo uravneniya”, Differents. uravn., 41:6 (2005), 852 | MR