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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. (English) Zbl 0354.34059

Ukr. Math. J. 28(1976), 600-609 (1977).
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MSC:

34E20 Singular perturbations, turning point theory, WKB methods for ordinary differential equations
34L99 Ordinary differential operators
34A30 Linear ordinary differential equations and systems
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References:

[1] V. Vazov, Asymptotic Expansions of Solutions of Ordinary Differential Equations [Russian translation], Mir, Moscow (1969).
[2] W. Wasow, ?Simplification of turning point problems for systems of linear differential equations,? Trans. Amer. Math. Soc.,106, 100-114 (1963). · Zbl 0109.31003 · doi:10.1090/S0002-9947-1963-0142836-2
[3] G. D’Angelo, Linear Systems with Variable Parameters [Russian translation], Mashinostroenie, Moscow (1974).
[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).
[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).
[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). · Zbl 0114.29001 · doi:10.1007/BF02528057
[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).
[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).
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