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On the small parameter method. (English) Zbl 0228.34025


MSC:

34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
34A30 Linear ordinary differential equations and systems
34A34 Nonlinear ordinary differential equations and systems
Full Text: DOI

References:

[1] N. P. Erugin, Linear Systems of Ordinary Differential Equations [in Russian], Izd-vo AN BSSR, Minsk (1963). · Zbl 0119.30102
[2] N. N. Bogolyubov and Yu. A. Mitropol’skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Fizmatgiz, Moscow (1963).
[3] J. Hale, Oscillations in Nonlinear Systems McGraw-Hill, New York (1963). · Zbl 0115.07401
[4] S. F. Feshchenko, N. I. Shkil’, and L. D. Nikolenko, Asymptotic Methods in the Theory of Linear Differential Equations [in Russian], Naukova Dumka, Kiev (1966). · Zbl 0141.28004
[5] F. I. Safronov, ?Closed-form integration of ordinary second-order differential equations,? Coll. of Scientific Papers of Vladimir Evening Polytechnical Institute [in Russian], Vladimir (1967).
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