Geodesic
Tonkov generalization of the stability of the Lyapunov exponents of linear differential system with a special matrix Cauchy
Trudy Instituta matematiki, Tome 20 (2012) no. 2, pp. 84-92 
N. S. Niparko. Tonkov generalization of the stability of the Lyapunov exponents of linear differential system with a special matrix Cauchy. Trudy Instituta matematiki, Tome 20 (2012) no. 2, pp. 84-92. http://geodesic.mathdoc.fr/item/TIMB_2012_20_2_a8/
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     title = {Tonkov generalization of the stability of the {Lyapunov} exponents of linear differential system with a special matrix {Cauchy}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The sufficient condition for the stability of the Lyapunov exponents of a linear differential system with piecewise continuous bounded on the time axis coefficients, Cauchy matrix of which is an upper triangular matrix in the neighboring points of a monotone increasing to $+\infty$ the sequence.

[1] Kozlov A. A., “Ob upravlenii pokazatelyami Lyapunova dvumernykh lineinykh sistem s lokalno integriruemymi koeffitsientami”, Differents. uravneniya, 44:10 (2008), 1319–1335 | MR | Zbl

[2] Niparko N. S., “Ustoichivost pokazatelei Lyapunova v odnoi zadache ob ikh upravlenii”, Dokl. NAN Belarusi, 54:1 (2010), 39–43 | MR

[3] Bylov B. F., Vinograd R. E., Grobman D. M., Nemytskii V. V., Teoriya pokazatelei Lyapunova i ee prilozheniya k voprosam ustoichivosti, M., 1966

[4] Gantmakher F. R., Teoriya matrits, M., 1967

[5] Bylov B. F., “Privedenie k blochno-treugolnomu vidu i neobkhodimye i dostatochnye usloviya ustoichivosti kharakteristicheskikh pokazatelei lineinoi sistemy differentsialnykh uravnenii”, Differents. uravneniya, 6:2 (1970), 243–252 | MR | Zbl

[6] Sergeev I. N., “Tochnye verkhnie granitsy podvizhnosti pokazatelei Lyapunova sistemy differentsialnykh uravnenii i povedenie pokazatelei pri vozmuscheniyakh, stremyaschikhsya k nulyu na beskonechnosti”, Differents. uravneniya, 16:3 (1980), 438–448 | MR | Zbl

[7] Millionschikov V. M., “Grubye svoistva lineinykh sistem differentsialnykh uravnenii”, Differents. uravneniya, 5:10 (1969), 1775–1784

[8] Bylov B. F., Izobov N. A., “Neobkhodimye i dostatochnye usloviya ustoichivosti kharakteristicheskikh pokazatelei lineinoi sistemy”, Differents. uravneniya, 5:10 (1969), 1794–1803 | MR | Zbl