An algorithm for the numerical investigation of the asymptotic stability of solutions of linear systems with periodic coefficients
Sibirskij žurnal industrialʹnoj matematiki, Tome 10 (2007) no. 3, pp. 58-70
I. I. Klevtsova. An algorithm for the numerical investigation of the asymptotic stability of solutions of linear systems with periodic coefficients. Sibirskij žurnal industrialʹnoj matematiki, Tome 10 (2007) no. 3, pp. 58-70. http://geodesic.mathdoc.fr/item/SJIM_2007_10_3_a6/
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[1] Klevtsova Yu. Yu., “O chislennom issledovanii asimptoticheskoi ustoichivosti lineinykh sistem s periodicheskimi koeffitsientami”, Sib. zhurn. industr. matematiki, 8:2(22) (2005), 103–115 | MR

[2] Daletskii Yu. L., Krein M. G., Ustoichivost reshenii differentsialnykh uravnenii v banakhovom prostranstve, Nauka, M., 1970 | MR

[3] Yakubovich V. A., Starzhinskii V. M., Lineinye differentsialnye uravneniya s periodicheskimi koeffitsientami i ikh prilozheniya, Nauka, M., 1972 | MR

[4] Uilkson Dzh., Algebraicheskaya problema sobstvennykh znachenii, Nauka, M., 1970

[5] Godunov S. K., Lektsii po sovremennym aspektam lineinoi algebry, Nauch. kniga, Novosibirsk, 2002

[6] Demidenko G. V., Matveeva I. I., “Ob ustoichivosti reshenii lineinykh sistem s periodicheskimi koeffitsientami”, Sib. mat. zhurn., 42:2 (2001), 332–348 | MR | Zbl

[7] Demidenko G. V., Matveeva I. I., “Ob ustoichivosti reshenii kvazilineinykh periodicheskikh sistem differentsialnykh uravnenii”, Sib. mat. zhurn., 45:6 (2004), 1271–1284 | MR | Zbl

[8] Golub Dzh., Van Loun Ch., Matrichnye vychisleniya, Mir, M., 1999

[9] Godunov S. K., Obyknovennye differentsialnye uravneniya s postoyannymikoeffitsientami. T. 1. Kraevye zadachi, Izd-vo Novosib. gos. un-ta, Novosibirsk, 1994 | MR | Zbl

[10] Bulgakov A. Ya., “Effektivno vychislyaemyi parametr kachestva ustoichivosti sistem lineinykh differentsialnykh uravnenii s postoyannymi koeffitsientami”, Sib. mat. zhurn., 21:3 (1980), 32–41 | MR | Zbl

[11] Molchanov I. N., Mashinnye metody resheniya prikladnykh zadach. Differentsialnye uravneniya, Nauk. dumka, Kiev, 1988 | MR

[12] Aidyn K., Bulgakov A. Ya., Demidenko G. V., “Asimptoticheskaya ustoichivost reshenii vozmuschennykh lineinykh raznostnykh uravnenii s periodicheskimi koeffitsientami”, Sib. mat. zhurn., 43:3 (2002), 493–507 | MR

[13] Aidyn K., Bulgakov A. Ya., Demidenko G. V., “Chislovye kharakteristiki asimptoticheskoi ustoichivosti reshenii lineinykh raznostnykh uravnenii s periodicheskimi koeffitsientami”, Sib. mat. zhurn., 41:6 (2000), 1227–1237 | MR