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Asymptotic solution of a system of second-order linear differential equations with an irregular singular point

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Literature cited

  1. E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York (1955).

    Google Scholar 

  2. V. Wasow, Asymptotic Expansions for Ordinary Differential Equations, Krieger (1976).

  3. N. I. Tereshchenko, “On the solutions of certain systems of linear differential equations with singular points,” Ukr. Mat. Zh.,10, No. 2, 220–223 (1958).

    Google Scholar 

  4. H. L. Turrittin, “Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point,” Acta Math.,93, Nos. 1/2, 27–66 (1955).

    Google Scholar 

  5. N. I. Shkil', “On certain asymptotic methods in the theory of linear differential equations with slowly changing coefficients,” Author's Abstract of Doctoral Dissertation, Physicomathematical Sciences, Kiev (1968).

    Google Scholar 

  6. V. K. Grigorenko, “On the asymptotic expansion of solutions of systems of linear differential equations,” Author's Abstract of Candidate's Dissertation, Physicomathematical Sciences, Kiev (1972).

    Google Scholar 

  7. N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  8. F. R. Gantmakher, Theory of Matrices, Chelsea Publ.

  9. I. A. Pavlyuk, Asymptotic Properties of Solutions of Nonautonomous Systems of Second-Order Differential Equations [in Russian], Kiev State Univ. (1971).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 4, pp. 479–485, July–August, 1984.

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Shkil, N.I., Matveenko, N.M. Asymptotic solution of a system of second-order linear differential equations with an irregular singular point. Ukr Math J 36, 390–396 (1984). https://doi.org/10.1007/BF01066560

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  • DOI: https://doi.org/10.1007/BF01066560

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