Averaging and Stability

In this chapter, we investigate the problem of closeness of non-stationary solutions of the exact and averaged equations on an infinite time interval. We believe, the first theorems of this type were proved in the works of Banfi [1967], and Sethna [1970]. Here, we infer the corresponding assertions based on special theorems of stability under constantly acting perturbations (obtained by the author [1977, 1979b, 1986]).