Method of regularization and the solvability in the large of truncated equations by the method of averaging. (English) Zbl 0507.34038
MSC:
34C29 | Averaging method for ordinary differential equations |
34E15 | Singular perturbations for ordinary differential equations |
Citations:
Zbl 0469.34030References:
[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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