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The problem of eigenvalues and “turning points” in the theory of systems of linear differential equations

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Literature cited

  1. V. Vazov, Asymptotic Expansions of Solutions of Ordinary Differential Equations [Russian translation], Mir, Moscow (1969).

    Google Scholar 

  2. W. Wasow, “Simplification of turning point problems for systems of linear differential equations,” Trans. Amer. Math. Soc.,106, 100–114 (1963).

    Google Scholar 

  3. G. D'Angelo, Linear Systems with Variable Parameters [Russian translation], Mashinostroenie, Moscow (1974).

    Google Scholar 

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

    Google Scholar 

  5. S. F. Feshchenko and N. I. Shkil', “Asymptotic solutions of special systems of linear differential equations,” Dopov. Akad. Nauk UkrRSR, No. 5, 482–485 (1958).

    Google Scholar 

  6. S. F. Feshchenko and N. I. Shkil', “Asymptotic solutions of systems of linear differential equations with a small parameter in the derivative,” Ukr. Mat. Zh.,12, No. 4, 429–438 (1960).

    Google Scholar 

  7. N. I. Shkil', “Systems of linear differential equations with a small parameter ia some of the derivatives,” Differents. Uravneniya,1, No. 7, 868–879 (1965).

    Google Scholar 

  8. N. I. Shkil', “On some asymptotic methods in the theory of linear differential equations with slowly varying coefficients,” Author's Abstract of Candidate's Dissertation. Kiev (1968).

  9. I. I. Starun, “On the asymptotic behavior of solutions of systems of linear differential equations,” Author's Abstract of Candidate's Dissertation, Kiev (1969).

  10. N. I. Shkil', Asymptotic Methods in Differential Equations [in Russian], Vishcha Shkola, Kiev (1971).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 28, No. 6, pp. 782–792, November–December, 1976.

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Sotnichenko, N.A., Feshchenko, S.F. The problem of eigenvalues and “turning points” in the theory of systems of linear differential equations. Ukr Math J 28, 600–609 (1976). https://doi.org/10.1007/BF01094127

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  • DOI: https://doi.org/10.1007/BF01094127

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