Geodesic
Some admissibility and dichotomy questions. The averaging principle
Izvestiya. Mathematics , Tome 10 (1976) no. 6, pp. 1307-1332.

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In this paper some questions in the general theory of stability are studied, with a subsequent application to the problem of averaging on the whole axis. Bibliography: 14 titles. 
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V. V. Zhikov. Some admissibility and dichotomy questions. The averaging principle. Izvestiya. Mathematics , Tome 10 (1976) no. 6, pp. 1307-1332. http://geodesic.mathdoc.fr/item/IM2_1976_10_6_a6/

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[12] Simonenko I. B., “Obosnovanie metoda osredneniya dlya abstraktnykh parabolicheskikh uravnenii”, Matem. sb., 81(123) (1970), 53–61 | MR | Zbl

[13] Coppel W. A., “Dichotomies and reducibility”, J. of Diff. Equations, 3:4 (1967), 500–521 | DOI | MR | Zbl

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