@article{IVM_2007_1_a8,
author = {V. F. Chistyakov and E. V. Chistyakova},
title = {Nonlocal theorems on existence of solutions of differential-algebraic equations of index 1},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {76--81},
year = {2007},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2007_1_a8/}
}
TY - JOUR AU - V. F. Chistyakov AU - E. V. Chistyakova TI - Nonlocal theorems on existence of solutions of differential-algebraic equations of index 1 JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2007 SP - 76 EP - 81 IS - 1 UR - http://geodesic.mathdoc.fr/item/IVM_2007_1_a8/ LA - ru ID - IVM_2007_1_a8 ER -
V. F. Chistyakov; E. V. Chistyakova. Nonlocal theorems on existence of solutions of differential-algebraic equations of index 1. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2007), pp. 76-81. http://geodesic.mathdoc.fr/item/IVM_2007_1_a8/
[1] Boyarintsev Yu. E., Regulyarnye i singulyarnye sistemy lineinykh obyknovennykh differentsialnykh uravnenii, Nauka, Novosibirsk, 1980, 222 pp. | MR | Zbl
[2] Chistyakov V. F., Algebro-differentsialnye operatory s konechnomernym yadrom, Sib. izd. firma RAN “Nauka”, Novosibirsk, 1996, 279 pp. | MR | Zbl
[3] Brenan K. E., Campbell S. L., Petzold L. R., Numerical solution of initial-value problems in differential-algebraic equations, SIAM, Philadelphia, 1996, 256 pp. | MR | Zbl
[4] Kulikov G. Yu., “Chislennoe reshenie zadachi Koshi dlya sistemy differentsialno-algebraicheskikh uravnenii s pomoschyu neyavnykh metodov Runge–Kutta s netrivialnym prediktorom”, Zhurn. vychisl. matem. i matem. fiz., 38:1 (1998), 68–84 | MR | Zbl
[5] Daletskii Yu. L., Krein M. G., Ustoichivost reshenii differentsialnykh uravnenii v banakhovom prostranstve, Nauka, M., 1970, 534 pp. | MR
[6] Demidovich B. P., Lektsii po matematicheskoi teorii ustoichivosti, Nauka, M., 1967, 472 pp. | MR
[7] Shilov G. E., Matematicheskii analiz. Funktsii neskolkikh veschestvennykh peremennykh, Ch. 1, 2, Nauka, M., 1972, 622 pp. | Zbl
[8] Khessard B., Kazarinov N., Ven I., Teoriya i prilozheniya bifurkatsii rozhdeniya tsikla, Mir, M., 1985, 280 pp. | MR
[9] Bulatov M. V., “O preobrazovanii algebro-differentsialnykh sistem uravnenii”, Zhurn. vychisl. matem. i matem. fiz., 34:3 (1994), 360–372 | MR | Zbl