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On the Seminar on Qualitative Theory of Differential Equations at Moscow State University

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REFERENCES

  1. Izobov, N.A., Differents. Uravn., 1969, vol. 5, no. 7, pp. 1186–1192.

    Google Scholar 

  2. Barabanov, E.A., Sharp Bounds of Upper Lyapunov Exponents of Linear Differential Systems with Exponential and Power-Law Perturbations, Cand. Sci. (Phys.–Math.) Dissertation, Minsk, 1984.

  3. Barabanov, E.A. and Vishnevskaya, O.G., Dokl. NAN Belarusi, 1997, vol. 41, no. 5, pp. 29–34.

    Google Scholar 

  4. Bylov, B.F., Vinograd, R.E., Grobman, D.M., and Nemytskii, V.V., Teoriya pokazatelei Lyapunova i ee prilozheniya k voprosam ustoichivosti (Theory of Lyapunov Exponents and Its Applications to Stability Problems), Moscow, 1966.

  5. Millionshchikov, V.M., Differents. Uravn., 1969, vol. 5, no. 10, pp. 1775–1784.

    Google Scholar 

  6. Sergeev, I.N., Differents. Uravn., 1980, vol. 16, no. 6, pp. 1135–1137.

    Google Scholar 

  7. Lyapunov, A.M., Sobr. soch. (Collected Papers), Moscow, 1956, vol. 2.

  8. Perron, O., Math. Zeitschr., 1929, vol. 31, no. 4, pp. 748–766.

    Google Scholar 

  9. Basov, V.P., Vestn. Leningr. Univ., 1952, no. 12, pp. 3–8.

  10. Grobman, D.M., Mat. Sb., 1952, vol. 30, no. 1, pp. 121–166.

    Google Scholar 

  11. Vinograd, R.E., Uspekhi Mat. Nauk, 1954, vol. 9, no. 2, pp. 129–136.

    Google Scholar 

  12. Bykov, V.V., Differents. Uravn., 2003, vol. 39, no. 11, p. 1577.

    Google Scholar 

  13. Sergeev, I.N., Differents. Uravn., 2000, vol. 36, no. 11, p. 1570.

    Google Scholar 

  14. Rozhin, A.F., Differents. Uravn., 2003, vol. 39, no. 11, p. 1577.

    Google Scholar 

  15. Millionshchikov, V.M., Differents. Uravn., 2000, vol. 36, no. 11, p. 1574.

    Google Scholar 

  16. Millionshchikov, V.M., Differents. Uravn., 2001, vol. 37, no. 6, p. 848.

    Google Scholar 

  17. Rakhimberdiev, M.I., Differents. Uravn., 2002, vol. 38, no. 6, p. 855.

    Google Scholar 

  18. Bylov, B.F., Vinograd, R.E., Grobman, D.M., and Nemytskii, V.V., Teoriya pokazatelei Lyapunova i ee prilozheniya k voprosam ustoichivosti (The Theory of Lyapunov Exponents and Its Applications to Stability Problems), Moscow, 1966.

  19. Bryuno, A.D., Lokal'nyi metod nelineinogo analiza Differentsial'nykh uravnenii (A Local Method for Nonlinear Analysis of Differential Equations), Moscow, 1979.

  20. Samovol, V.S., Trudy Mosk. Mat. Obshch., 1982, vol. 44, pp. 213–234.

    Google Scholar 

  21. Bryuno, A.D., Stepennaya geometriya v algebraicheskikh i Differentsial'nykh uravneniyakh (Power Ge-ometry in Algebraic and Differential Equations), Moscow, 1998.

  22. Gromak, V.I., Laine, I., and Shimomura, S., Painlevé Differential Equations in the Complex Plane, Berlin, 2002.

  23. Bryuno, A.D. and Chukhareva, I.V., Power Series Expansions of Solutions of the Sixth Painlevé Equa-tion, Preprint IAM, Moscow, 2003, no. 49.

  24. Izobov, N.A., Dokl. Akad. Nauk BSSR, 1982, vol. 26, no. 1, pp. 5–8.

    Google Scholar 

  25. Nurmatov, A.M., On the Properties of Characteristic Exponents of Linear Differential Systems Under Exponentially Decreasing Perturbations, Cand. Sci. (Phys.–Math.) Dissertation, Minsk, 1987.

  26. Millionshchikov, V.M., Sib. Mat. Zh., 1969, vol. 10, no. 1, pp. 99–104.

    Google Scholar 

  27. Bryuno, A.D., Stepennaya geometriya v algebraicheskikh i Differentsial'nykh uravneniyakh (Power Ge-ometry in Algebraic and Differential Equations), Moscow, 1998.

  28. Gromak, V.I., Laine, I., and Shimomura, S., Painlevé Differential Equations in the Complex Plane, Berlin, 2002.

  29. Bryuno, A.D. and Gridnev, A.V., Power-Law and Exponential Expansions of Solutions of the Third Painlevé Equation, Preprint IAM, Moscow, 2003, no. 51.

    Google Scholar 

  30. Egorov, Yu. V. and Kondrat'ev, V.A., Uspekhi Mat. Nauk, 1996, vol. 51, no. 3(309), pp. 73–144.

    Google Scholar 

  31. Bryuno, A.D., Stepennaya geometriya v algebraicheskikh i Differentsial'nykh uravneniyakh (Power Ge-ometry in Algebraic and Differential Equations), Moscow, 1998.

  32. Golubev, V.V., Mat. Sb., 1912, vol. 28, no. 2, pp. 323–349.

    Google Scholar 

  33. Kozlov, V.V. and Furta, S.D., Asimptotiki reshenii sil'no nelineinykh sistem Differentsial'nykh uravnenii (Asymptotics of Solutions of Strongly Nonlinear Systems of Differential Equations), Moscow, 1996.

  34. Yablonskii, A.I., Dokl. Akad. Nauk BSSR, 1964, vol. 8, no. 2, pp. 77–80.

    Google Scholar 

  35. Bryuno, A.D. and Zavgorodnyaya, Yu. V., Power Series and Nonpower-Law Asymptotics of Solutions of the Second Painlevé Equation, Preprint IAM, Moscow, 2003, no. 48.

    Google Scholar 

  36. Dzhumabaev, D.S., Mat. Zametki, 1987, vol. 41, no. 5, pp. 637–645.

    Google Scholar 

  37. Asanova, A.T. and Dzhumabaev, D.S., Dokl. RAN, 2003, vol. 391, no. 3, pp. 295–297.

    Google Scholar 

  38. Dzhumabaev, D.S., Zh. Vychislit. Mat. Mat. Fiz., 1990, vol. 30, no. 3, pp. 388–404.

    Google Scholar 

  39. Bryuno, A.D., Stepennaya geometriya v algebraicheskikh i Differentsial'nykh uravneniyakh (Power Ge-ometry in Algebraic and Differential Equations), Moscow, 1998.

  40. Gromak, V.I., Laine, I., and Shimomura, S., Painlevé Differential Equations in the Complex Plane, Berlin, 2002.

  41. Bryuno, A.D. and Karulina, E.S., Power-Law Expansions of Solutions of the Fifth Painlevé Equation, Preprint IAM, Moscow, 2003, no. 50.

    Google Scholar 

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On the Seminar on Qualitative Theory of Differential Equations at Moscow State University. Differential Equations 40, 911–925 (2004). https://doi.org/10.1023/B:DIEQ.0000046871.57714.51

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