Geodesic
Averaging of some systems of ordinary differential equations
Sbornik. Mathematics, Tome 47 (1984) no. 2, pp. 527-540

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of averaging a system of ordinary differential equations is considered. When a number of conditions are imposed on the functions contained in the equation, the averaged equation is described, and it is shown that in classes of smooth functions the sequence of solutions of the original problems converges to the solution of the averaged problem with $G$-convergence or strong $G$-convergence depending on the conditions imposed. Bibliography: 15 titles. 
@article{SM_1984_47_2_a14,
     author = {A. G. Kolpakov},
     title = {Averaging of some systems of ordinary differential equations},
     journal = {Sbornik. Mathematics},
     pages = {527--540},
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {1984},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1984_47_2_a14/}
}
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A. G. Kolpakov. Averaging of some systems of ordinary differential equations. Sbornik. Mathematics, Tome 47 (1984) no. 2, pp. 527-540. http://geodesic.mathdoc.fr/item/SM_1984_47_2_a14/