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Gubin, Yu. P.

Method of regularization and the solvability in the large of truncated equations by the method of averaging. (English) Zbl 0507.34038

Ukr. Math. J. 33, 229-234 (1982).
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scan of Zbl 0507.34038

Cited in 2 Documents

MSC:

34C29 Averaging method for ordinary differential equations
34E15 Singular perturbations for ordinary differential equations

Keywords:

scalar Cauchy problem; singularly perturbated solutions

Citations:

Zbl 0469.34030
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Full Text: DOI

References:

[1] S. A. Lomov, ?The method of perturbations for singular problems,? Izv. Akad. Nauk SSSR, Ser. Mat.,36, No. 3, 635-651 (1972).
[2] S. A. Lomov and V. F. Safonov, ?The regularization method for systems with a weak nonlinearity in the resonance case,? Mat. Zametki,25, No. 6, 871-889 (1979). · Zbl 0427.34051
[3] N. N. Bogolyubov and Yu. A. Mitropol’skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1974).
[4] A. D. Bryuno, ?The analytic form of differential equations,? Tr. Mosk. Mat. Obshch.,25, 119-262 (1971). · Zbl 0263.34003
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