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On the asymptotics of a solution of a linear reduced equation

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Literature Cited

  1. Yu. S. Kolosov and E. P. Kubyshkin, “The minimal algorithm for investigating the stability of linear systems,” Studies on Stability in Oscillation Theory, Yaroslavl' University Press, 142–155 (1977).

  2. V. I. Arnol'd, “On matrices depending on parameters,” Usp. Mat. Nauk,26, No. 2, 101–114 (1971).

    Google Scholar 

  3. H. L. Territin, “Asymptotic expansion of solution of systems of ordinary linear differential equations involving a parameter,” Matematika: A Collection of Translations,1, No. 2, 29–59 (1957).

    Google Scholar 

  4. N. N. Moiseev, Asymptotic Methods of Nonlinear Mechanics [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  5. S. F. Feschenko, N. I. Shkil', and L. D. Nikolenko, Asymptotic Methods in the Theory of Linear Differential Equations [in Russian], Naukova Dumka, Kiev (1966).

    Google Scholar 

  6. A. G. Eliseev, “Theory of singular perturbations for systems of differential equations in the case of a multiple spectrum of the limiting operator. I,” Izv. Akad. Nauk SSSR, Ser. Mat.,48, No. 5, 999–1020 (1984).

    Google Scholar 

  7. K. I. Chernyshov, “Stability and asymptotic decomposition of solutions of an operator differential equation unsolvable with respect to the derivative,” in: The Method of Lyapunov Functions in an Analysis of Dynamics of Systems [in Russian], Nauka, Novosibirsk, 129–143 (1987).

    Google Scholar 

  8. A. G. Eliseev, “Theory of singular perturbations for systems of differential equations in the case of a multiple spectrum of the limiting operator. III,” Izv. Akad. Nauk SSSR, Ser. Mat.,48, No. 6, 1171–1195 (1984).

    Google Scholar 

  9. A. G. Eliseev and S. A. Lomov, “Asymptotic integration of singularly perturbed problems,” Usp. Mat. Nauk,43, No. 3, 3–53 (1988).

    Google Scholar 

  10. V. K. Grigorenko, “Asymptotic representation of solutions of linear differential equations in the case of multiple roots of the characteristic equation,” Ukr. Mat. Zh.,29, No. 2, 249–254 (1977).

    Google Scholar 

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Authors
  1. K. I. Chernyshov
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Voronezh. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 32, No. 3, pp. 192–200, May–June, 1991.

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Chernyshov, K.I. On the asymptotics of a solution of a linear reduced equation. Sib Math J 32, 514–522 (1991). https://doi.org/10.1007/BF00970491

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  • DOI: https://doi.org/10.1007/BF00970491

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