Geodesic
On indices of exponential separation
Sbornik. Mathematics, Tome 52 (1985) no. 2, pp. 439-470 
V. M. Millionshchikov. On indices of exponential separation. Sbornik. Mathematics, Tome 52 (1985) no. 2, pp. 439-470. http://geodesic.mathdoc.fr/item/SM_1985_52_2_a8/
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     title = {On indices of exponential separation},
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     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1985_52_2_a8/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The property of exponential separation of solutions of systems of variational equations, introduced by Perron, is considered. The author shows that it is typical for this property to be preserved under small perturbations both of the linearized system and of the initial value of the solution along which the system is linearized. Bibliography: 8 titles.

[1] Millionschikov V. M., “Berovskie klassy funktsii i pokazateli Lyapunova. X”, Diff. uravneniya, 18:12 (1982), 2132–2148 | MR | Zbl

[2] Khyuzmoller D., Rassloennye prostranstva, Mir, M., 1970

[3] Baire R., Legons sur les fonctions discontinues, Gauthier-Villars, Paris, 1905 | Zbl

[4] Khausdorf F., Teoriya mnozhestv, ONTI, M.-L., 1937

[5] Millionschikov V. M., “Berovskie klassy funktsii i pokazateli Lyapunova. VI”, Diff. uravneniya, 18:5 (1982), 804–821 | MR

[6] Millionschikov V. M., “Berovskie klassy funktsii i pokazateli Lyapunova. VII”, Diff. uravneniya, 18:6 (1982), 957–978 | MR | Zbl

[7] Millionschikov V. M., “Berovskie klassy funktsii i pokazateli Lyapunova. VIII”, Diff. uravneniya, 18:8 (1982), 1330–1345 | MR

[8] Millionschikov V. M., “Berovskie klassy funktsii i pokazateli Lyapunova. III”, Diff. uravneniya, 16:10 (1980), 1766–1785 | MR