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Existence and Asymptotics of Solutions for a Class of Second-Order Quasilinear Ordinary Differential Equations

  • Ordinary Differential Equations
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REFERENCES

  1. Gupalo, Yu.P., Polyanin, A.D., and Ryazantsev, Yu.S., Massoteploobmen reagiruyushchikh chastits s potokom (Mass and Heat Exchange of Reacting Particles with Flow), Moscow, 1985.

  2. Akhmetov, R.G., Zh. Vychislit. Mat. Mat. Fiz., 2002, vol. 42, no.10, pp. 1600–1608.

    Google Scholar 

  3. Il’in, A.M., Soglasovanie asimptoticheskikh razlozhenii reshenii kraevykh zadach (Matching of Asymptotic Expansions of Solutions of Boundary Value Problems), Moscow, 1989.

  4. Sih, P.H. and Newman, J., Int. J. Heat Mass Transfer., 1967, vol. 10, no.12, pp. 1749–1756.

    Article  Google Scholar 

  5. Akhmetov, R.G., Dokl. RAN, 1998, vol. 362, no.6, pp. 727–728.

    Google Scholar 

  6. Akhmetov, R.G., Zh. Vychislit. Mat. Mat. Fiz., 1998, vol. 38, no.5, pp. 801–806.

    Google Scholar 

  7. Krylov, V.S., Izv. Akad. Nauk SSSR. Mekhanika Zhidkosti i Gaza, 1967, no. 1, pp. 146–149.

  8. Zhivotyagin, A.F., Vestn. MGU. Ser. 1. Matematika i Mekhanika, 1980, no. 6, pp. 73–78.

  9. Akhmetov, R.G., Proc. of the Steklov Institute of Mathematics. Suppl. 1, 2003, pp. S8–S12.

  10. Astarita, G., Mass Transfer With Chemical Reaction, Amsterdam: Elsevier, 1967. Translated under the title Massoperedacha s khimicheskoi reaktsiei (Mass Transport with Chemical Reaction), Leningrad, 1971.

    Google Scholar 

  11. Danckwerts, P.V., Gas Liquid Reactions, New York: McGraw Hill, 1970. Translated under the title Gazozhidkostnye reaktsii, Moscow, 1973.

    Google Scholar 

  12. Frank-Kamenetskii, D.A., Diffuziya i teploperedacha v khimicheskoi kinetike (Diffusion and Heat Transfer in Chemical Kinetics), Moscow, 1967.

  13. Babenko, K.I., Osnovy chislennogo analiza (Foundations of Numerical Analysis), Moscow, 2002.

  14. Rakitskii, Yu.V., Ustinov, S.M., and Chernorutskii, I.G., Chislennye metody resheniya zhestkikh sistem (Numerical methods for Stiff Systems), Moscow, 1979.

  15. Akhmetov, V.R., Akhmetov, R.G., and Zagidullina, A.V., Uch. zapiski: Sb. nauch. tr. (Scientific Notes: Collection of Scientific Works), Ufa, 2003.

  16. Kamke, E.W.H., Differentialgleichungen, Leipzig, 1959. Translated under the title Spravochnik po obyknovennym differentsial’nym uravneniyam, Moscow, 1981.

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  1. Bashkir State Pedagogical University, Ufa, Russia

    R. G. Akhmetov

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__________

Translated from Differentsial’nye Uravneniya, Vol. 41, No. 6, 2005, pp. 723–729.

Original Russian Text Copyright © 2005 by Akhmetov.

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Akhmetov, R.G. Existence and Asymptotics of Solutions for a Class of Second-Order Quasilinear Ordinary Differential Equations. Diff Equat 41, 757–763 (2005). https://doi.org/10.1007/s10625-005-0213-3

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  • DOI: https://doi.org/10.1007/s10625-005-0213-3

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