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- W204558690 abstract "This chapter considers formal procedures of averaging general nonlinear differential equations and linear operator equations, which are of interest to the readers who concern themselves with possible generalizations and with applicability of the methods described herein to other models. In particular, the chapter deals with constructing averaged equations of infinite order of accuracy in ε. All the above-mentioned cases of averaging periodic problems (except for those treated in §§4.7–4.9) fit the framework of the general procedure. However, we preferred to consider first the great number of particular cases for a more graphic presentation. In addition, rigorous justification of the results in the case of boundary value problems calls for specific types of equations to be taken into account.KeywordsAsymptotic ExpansionElasticity TheoryAverage EquationSlow VariablePeriodic MediumThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
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- W204558690 date "1989-01-01" @default.
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- W204558690 title "General Formal Averaging Procedure" @default.
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