Abstract
In this chapter we shall consider again equations containing a small parameter ε. The approximation method leads generally to asymptotic series as opposed to the convergent series studied in the preceding chapter; see section 9.2 for the basic concepts. This asymptotic character of the approximations is more natural in many problems; also the method turns out to be very powerful, it is not restricted to periodic solutions.
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© 1990 Springer-Verlag Berlin Heidelberg
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Verhulst, F. (1990). The method of averaging. In: Nonlinear Differential Equations and Dynamical Systems. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97149-5_11
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DOI: https://doi.org/10.1007/978-3-642-97149-5_11
Publisher Name: Springer, Berlin, Heidelberg
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