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[1] Gear C. W., “The simultaneous numerical solution of differential-algebraic equations”, IEEE Trans. Circuit Theory, 18 (1971), 89–95 | DOI
[2] Hindmarsh A. C., “LSODE and LSODI, two new initial value ordinary differential equations solvers”, ACM SIGNUM. Newsletter., 15:4 (1980), 10–11 | DOI
[3] Sincovec R. F., Erisman A. M., Yip E. L., Epton M. A., “Analysis of descripton system using numerical algorithms”, IEEE Trans. Automat and Control, 26 (1980), 139–147 | DOI | MR
[4] Petzold L. R., A description of DASSL: A differential-algebraic system solver, Scient Comput., 65, North-Holland, Amsterdam, 1983 | MR
[5] Gerasimov B. P., Kulchitskaya I. A., SHFSP-paket programm integrirovaniya differentsialno-algebraicheskikh sistem bolshoi razmernosti, Preprint No 103, IPMatem. AN SSSR, M., 1984 | MR
[6] Kulikov G. Yu., “O chislennom reshenii avtonomnoi zadachi Koshi s algebraicheskoi svyazyu na fazovye peremennye”, Zh. vychisl. matem. i matem. fiz., 33:4 (1993), 522–540 | MR | Zbl
[7] Hairer E., Lubich C., Roche M., The numerical solution of differential-algebraic systems by Runge–Kutta methods, Springer, Berlin etc., 1989 | MR
[8] Hairer E., Wanner G., Solving ordinary differential equations 2. Stiff and differential-algebraic problems, Springer, Berlin etc., 1991 | MR | Zbl
[9] Boyarintsev Yu. E., Danilov V. A., Loginov A. A., Chistyakov V. F., Chislennye metody resheniya singulyarnykh sistem, Nauka, Novosibirsk, 1989 | Zbl
[10] Campbell S. L., Singular system of differential equations, Pitman Advanced Publ. Program., San-Francisco etc., 1980 | MR | Zbl
[11] Campbell S. L., Singular system of differential equations, v. II, Pitman Advanced Publ. Program., San-Francisco etc., 1982 | MR
[12] Brenan K. E., Campbell S. L., Petzold L. R., Numerical solution of initial-value problems in differential-algebraic equations, North-Holland, New York etc., 1989 | MR | Zbl
[13] Griepentrog E., Marz R., Differential-algebraic equations and their numerical treatment, Teubner, Leipzig, 1986 | MR | Zbl
[14] Shalashilin V. I., Kuznetsov E. B., “Nailuchshii parametr prodolzheniya resheniya”, Dokl. RAN, 334:5 (1994), 566–568 | MR | Zbl
[15] Kuznetsov E. B., Shalashilin V. I., “Zadacha Koshi kak zadacha prodolzheniya po nailuchshemu parametru”, Differents. ur-niya, 30:6 (1994), 964–971 | MR | Zbl
[16] Kuznetsov E. B., Shalashilin V. I., “Zadacha Koshi kak zadacha prodolzheniya resheniya po parametru”, Zh. vychisl. matem. i matem. fiz., 33:12 (1993), 1792–1805 | MR | Zbl
[17] Shalashilin V. I., Kuznetsov E. B., “Zadacha Koshi dlya nelineino deformiruemykh sistem kak zadacha prodolzheniya resheniya po parametru”, Dokl. RAN, 329:4 (1993), 426–428 | MR | Zbl