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@article{MZM_2013_93_1_a6, author = {V. V. Kozlov}, title = {On {Bohl's} {Argument} {Theorem}}, journal = {Matemati\v{c}eskie zametki}, pages = {72--80}, publisher = {mathdoc}, volume = {93}, number = {1}, year = {2013}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2013_93_1_a6/} }
V. V. Kozlov. On Bohl's Argument Theorem. Matematičeskie zametki, Tome 93 (2013) no. 1, pp. 72-80. http://geodesic.mathdoc.fr/item/MZM_2013_93_1_a6/
[1] P. Bohl, “Über eine Differentialgleichung der Störungstheorie”, J. Reine Angew. Math., 131 (1906), 268–321 | Zbl
[2] B. M. Levitan, Pochti-periodicheskie funktsii, Gostekhizdat, M., 1953 | MR | Zbl
[3] J. Moser, “On the volume elements on a manifold”, Trans. Amer. Math. Soc., 120:2 (1965), 286–294 | DOI | MR | Zbl
[4] N. Kryloff, N. Bogoliouboff, “La theorie génerale de la mesure dans son application à l'etude des systems dynamiques de la mécanique non-linéare”, Ann. of Math. (2), 38:1 (1937), 65–113 | DOI | MR | Zbl
[5] J. Moser, “A rapidly convergent iteration method and non-linear differential equations. II”, Ann. Scuola Norm. Sup. Pisa (3), 20:3 (1966), 499–535 | MR | Zbl
[6] A. N. Kolmogorov, “O dinamicheskikh sistemakh s integralnym invariantom na tore”, DAN SSSR, 93:5 (1953), 763–766 | MR | Zbl
[7] A. Puankare, Teoriya veroyatnostei, RKhD, Izhevsk, 1999 | Zbl
[8] V. V. Kozlov, “Dinamicheskie sistemy na tore s mnogoznachnymi integralami”, Dinamicheskie sistemy i optimizatsiya, Sbornik statei. K 70-letiyu so dnya rozhdeniya akademika Dmitriya Viktorovicha Anosova, Tr. MIAN, 256, Nauka, M., 2007, 201–218 | MR | Zbl
[9] G. Halász, “Remarks on the remainder in Birkhoff's ergodic theorem”, Acta Math. Acad. Sci. Hungar., 28:3–4 (1976), 389–395 | DOI | MR | Zbl
[10] V. V. Kozlov, “Vesovye srednie, strogaya ergodichnost i ravnomernoe raspredelenie”, Matem. zametki, 78:3 (2005), 358–367 | DOI | MR | Zbl
[11] S. A. Chaplygin, “K' teorii dvizheniya negolonomnykh' sistem'. Teorema o privodyaschem' mnozhitelѣ”, Matem. sb., 28:2 (1912), 303–314 | Zbl