Geodesic
On a set of solutions for differential inclusions with one sided Lipschitz condition
The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 2, pp. 44-50 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we consider differential inclusion with multiple-valued perturbation or control. Beside initial inclusion we consider one-parameter kind of approximate inclusions and analyze issue on closeness of solution sets of initial and approximate inclusions in Hausdorff distanse.
Keywords: differential inclusion, one sided Lipschitz condition, attainability set.
Mots-clés : Iosida approximation 
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V. I. Novitskiy. On a set of solutions for differential inclusions with one sided Lipschitz condition. The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 2, pp. 44-50. http://geodesic.mathdoc.fr/item/IIGUM_2010_3_2_a4/

[1] A. F. Filippov, Differentsialnye uravneniya s razryvnoi pravoi chastyu, Nauka, M., 1985, 224 pp. | MR

[2] V. I. Novitskii, I. A. Finogenko, “Skolzyaschie rezhimy upravlyaemykh sistem s mnogoznachnymi vozmuscheniyami”, Sovremennye tekhnologii. Sistemnyi analiz. Modelirovanie, 23:3 (2009), 87–91

[3] V. V. Obukhovskii, Yu. G. Borisovich, B. D. Gelman, A. D. Myshkis, Vvedenie v teoriyu mnogoznachnykh otobrazhenii i differentsialnykh vklyuchenii, KomKniga, M., 2005, 256 pp. | MR

[4] I. A. Finogenko, “O nepreryvnykh approksimatsiyakh i pravostoronnikh resheniyakh differentsialnykh uravnenii s kusochno nepreryvnoi pravoi chastyu”, Differentsialnye uravneniya, 41:5 (2005), 647–655 | MR | Zbl

[5] Yu. V. Trubnikov, A. I. Perov, Differentsialnye uravneniya s monotonnymi nelineinostyami, Nauka i tekhnika, Minsk, 1986, 150 pp. | MR | Zbl