Metody resheniya vyrozhdennykh sistem obyknovennykh differentsialnykh uravnenii / Yu. E. Boyarintsev; Otv. red. V. M. Matrosov; AN SSSR, Sib. otd-nie, Irkut. VTs. - Novosibirsk : Nauka : Sib. otd-nie, 1988. - 154,[3] s.; 22 sm.; ISBN 5-02-028564-1
Chislennye metody resheniya singulyarnykh sistem / [Yu. E. Boyarintsev, V. A. Danilov, A. A. Loginov, V. F. Chistyakov]; Otv. red. O. V. Vasilev; AN SSSR, Sib. otd-nie, Irkut. VTs. - Novosibirsk : Nauka : Sib. otd-nie, 1989. - 219,[3] s. : graf.; 20 sm.; ISBN 5-02-028735-0
Metody resheniya nepreryvnykh i diskretnykh zadach dlya singulyarnykh sistem uravnenii / Yu. E. Boyarintsev; Otv. red. S. N. Vasilev; SO RAN, Irkut. vychisl. tsentr. - Novosibirsk : Nauka, 1996. - 261 s.;ISBN 5-02-031164-2
Algebro-differentsialnye sistemy : metody resheniya i issled. / Yu. E. Boyarintsev, V. F. Chistyakov; otv. red. chl.-korr. RAN, d-r fiz.-mat. nauk S. N. Vasilev; SO RAN. In-t dinamiki sistem i teorii upr. - Novosibirsk : Nauka, 1998. - 224 s.; 21 sm.; ISBN 5-02-031441-2 : 311 ekz.
Lineinye i nelineinye algebro-differentsialnye sistemy: / Yu. E. Boyarintsev; Otv. red. S. N. Vasilev; SO RAN. In-t dinamiki sistem i teorii upr.]. - Novosibirsk : Nauka, 2000. - 222 s.; ISBN 5-02-031629-6
Puchki matrits i algebro-differentsialnye sistemy / Yu. E. Boyarintsev, I. V. Orlova ; otv. red. S. N. Vasilev ; SO RAN, In-t dinamiki sistem i teorii upr. - Novosibirsk : Nauka, 2006. - 123 s.; 22 sm.; ISBN 5-02-032514-7
Yu. E. Boyarintsev, “On nonlinear algebraic differential systems reducible to non-degenerate systems of ordinary differential equations. Theory and numerical methods of solution”, Sib. Zh. Vychisl. Mat., 13:1 (2010), 15–21; Num. Anal. Appl., 3:1 (2010), 11–16
Yu. E. Boyarintsev, I. V. Orlova, “Block algebro-differential systems and their indices”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 6, 6–13; Russian Math. (Iz. VUZ), 48:6 (2004), 4–11
Yu. E. Boyarintsev, V. G. Vasil'ev, “The convergence of a universal algorithm for a selfadjoint equation in Hilbert space”, Sibirsk. Mat. Zh., 10:3 (1969), 706–709; Siberian Math. J., 10:3 (1969), 512–514
4.
Yu. E. Boyarintsev, V. G. Vasil'ev, “The stability of the method of quasireversibility in the solution of ill posed evolution equations”, Zh. Vychisl. Mat. Mat. Fiz., 9:4 (1969), 951–952; U.S.S.R. Comput. Math. Math. Phys., 9:4 (1969), 292–295
1968
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Yu. E. Boyarintsev, V. G. Vasil'ev, “On the theory of the convergence of approximate solutions of an operator equation”, Dokl. Akad. Nauk SSSR, 180:5 (1968), 1027–1028
1967
6.
Yu. E. Boyarintsev, O. P. Uznadze, “A method for solving the nonstationary transport equation”, Zh. Vychisl. Mat. Mat. Fiz., 7:6 (1967), 1406–1413; U.S.S.R. Comput. Math. Math. Phys., 7:6 (1967), 265–274
Yu. E. Boyarintsev, “Convergence of difference schemes for equations with variable coefficients”, Trudy Mat. Inst. Steklov., 74 (1966), 16–37
1965
8.
Yu. E. Boyarintsev, “Convergence of difference schemes for the wave equation with variable coefficients”, Dokl. Akad. Nauk SSSR, 165:3 (1965), 474–475
1961
9.
N. N. Yanenko, Yu. E. Boyarintsev, “Convergence of difference schemes for the heat equation with variable coefficients”, Dokl. Akad. Nauk SSSR, 139:6 (1961), 1322–1324