Geodesic
On some methods for investigating stability
Sbornik. Mathematics, Tome 192 (2001) no. 3, pp. 385-402

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This article contains various algorithms for investigating the stability (using the apparatus of the splitting method) of certain classes of non-autonomous systems of linear and quasi-linear ordinary differential equations. The results complement previously known results. Each of the algorithms presented can be regarded (in a certain sense) as a development of the classical method of normal forms, which is very effective in the study of non-linear systems for analysing linear and quasi-linear non-autonomous systems of ordinary differential equations. 
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     author = {Yu. A. Konyaev},
     title = {On some methods for investigating stability},
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Yu. A. Konyaev. On some methods for investigating stability. Sbornik. Mathematics, Tome 192 (2001) no. 3, pp. 385-402. http://geodesic.mathdoc.fr/item/SM_2001_192_3_a3/