REFERENCES
Sidorov, A.F., Chisl. Metody Mekhaniki Sploshnoi Sredy, Novosibirsk, 1975, vol. 6, 4, pp. 106–115.
Filimonov, M.Yu., Korzunin, L.G., and Sidorov, A.F., Russian Journal of Numerical Analysis and Mathematical Modelling, 1993, vol. 8, 2, pp. 101–125.
Filimonov, M.Yu., Differents. Uravn., 1991, vol. 27, 9, pp. 1625–1632.
Filimonov, M.Yu., Differents. Uravn., 2000, vol. 36, 11, pp. 1538–1543.
Lyapunov, A.M., Obshchaya zadacha ob ustoichivosti dvizheniya. Sobr. soch.(General Problem on Motion Stability. Collected Works), Moscow, 1956, vol. 2.
Erugin, N.P., Kniga dlya chteniya po obshchemu kursu differentsial'nykh uravnenii(Reading Book on General Course of Differential Equations), Minsk, 1979.
Ovsyannikov, L.V., Prikl. Mat. Mekh., 1949, vol. 13, 5, pp. 537–542.
Sedov, L.I., Mekhanika sploshnoi sredy(Continuum Mechanics), Moscow, 1970, vol. 2.
Ryzhov, O.S., Issledovanie transzvukovykh techenii v soplakh Lavalya(A Study of Transonic Flows in Laval Nozzles), Moscow, 1965.
Pirumov, U.G., Gazovaya dinamika sopel(Gas Dynamics of Nozzles), Moscow, 1990.
Filimonov, M.Yu., Trudy VIII Vseros. shkoly-seminara “Sovremennye problemy matematicheskogo modelirovaniya”(Proc. VIII Russian School-Seminar Modern Problems of Mathematical Modelling"),Rostov-on-Don, 1999, pp. 231–239.
Filimonov, M.Yu., “Simmetriya i differentsial'nye uravneniya”(Proc. Int. Conf. “Symmetry and Differential Equations”), Krasnoyarsk, 2000, pp. 231–234.
Vaganova, N.A. and Filimonov, M.Yu., in Dinamika sploshnoi sredy(Continuum Dynamics), Novosibirsk, 2001, issue 118, pp. 103–108.
Filimonov, M.Yu., Sib. Mat. Zh. Industr. Matematiki, Novosibirsk, 2001, vol. 4, 1 (7), pp. 198–203.
Titov, S.S., Differents. Uravn., 1978, vol. 14, 10, pp. 1844–1850.
Kokovikhina, O.V. and Sidorov, A.F., Chisl. Metody Mekhaniki Sploshnoi Sredy, Novosibirsk, 1984, vol. 15,3, pp. 72–84.
Korzunin, L.G. and Filimonov, M.Yu., Chisl. Metody Mekhaniki Sploshnoi Sredy, Novosibirsk, 1985, vol. 16,5, pp. 57–67.
Titov, S.S., Dokl. RAN, 1999, vol. 365, 6, pp. 761–763.
Titov, S.S., Chisl. Metody Mekhaniki Sploshnoi Sredy, Novosibirsk, 1978, vol. 9, 2, pp. 112–124.
Sidorov, A.F., Izbrannye trudy: Matematika, mekhanika(Selected Works: Mathematics, Mechanics), Moscow, 2001.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Filimonov, M.Y. Representation of Solutions of Initial-Boundary Value Problems for Nonlinear Partial Differential Equations by the Method of Special Series. Differential Equations 39, 1159–1166 (2003). https://doi.org/10.1023/B:DIEQ.0000011290.09965.9a
Issue Date:
DOI: https://doi.org/10.1023/B:DIEQ.0000011290.09965.9a