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ordinary differential equation; method of averaging

References:

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[4] Krasnosel'skiĭ, M. A., Kreĭn, S. G.: **On the principle of averaging in nonlinear mechanics**. Usp. Mat. Nauk, N.S. 10 Russian (1955), 147-152. MR 0071596

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[8] Plotnikov, V. A., Romanyuk, A. V.: **Averaging of differential equations with Perron-integrable right-hand side**. Nelinijni Kolyvannya 11 (2008), 387-395 Russian translated in Nonlinear Oscil., N.Y. (electronic only) 11 (2008), 407-415. MR 2512749 | Zbl 1277.34053

[9] Plotnikova, N. V.: **The Krasnosel'skii-Krein theorem for differential inclusions**. Differ. Equ. 41 (2005), 1049-1053 Differ. Uravn. 41 997-1000 (2005), Russian. DOI 10.1007/s10625-005-0248-5 | MR 2201995 | Zbl 1109.34306

[10] Sanders, J. A., Verhulst, F., Murdock, J.: **Averaging Methods in Nonlinear Dynamical Systems**. Applied Mathematical Sciences 59 Springer, New York (2007). MR 2316999 | Zbl 1128.34001

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