Geodesic
To the question of existence of the generalized solution for the perturbed inclusion
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2006), pp. 9-12 Cet article a éte moissonné depuis la source Math-Net.Ru

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The «perturbed» differential inclusion with a multimap non necessarily convex valued with respect to the switching is under discussion. For an inclusion as such the concept of the generalized solution is represented. The conditions for existence of the generalized solution with lower semicontinuous multimap are derived. 
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A. I. Bulgakov; A. I. Korobko. To the question of existence of the generalized solution for the perturbed inclusion. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2006), pp. 9-12. http://geodesic.mathdoc.fr/item/IIMI_2006_2_a1/

[1] Bulgakov A. I., “K voprosu suschestvovaniya nepreryvnykh vetvei u mnogoznachnykh otobrazhenii s nevypuklymi obrazami v prostranstve summiruemykh funktsii”, Matem. sb., 136:2 (1988), 292–300 | MR | Zbl

[2] Bulgakov A. I., Belyaeva O. P., Machina A. N., “Funktsionalno–differentsialnoe vklyuchenie s mnogoznachnym otobrazheniem, ne obladayuschim svoistvom vypuklosti po pereklyucheniyu znachenii”, Vestn. Udm. un-ta, 2005, no. 1, 3–20 | MR