On Local Solutions of Degenerate Differential Inclusions
Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 1, pp. 79-83.

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We study the existence and properties of local solution sets for differential inclusions of the form $(Ax)'\in F(t,x)$, where $A$ is a closed linear surjective operator with nontrivial null space and $F$ is a compact set-valued mapping.
Keywords: surjective linear operator, operator inclusion, topological dimension, a differential inclusion.
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B. D. Gel'man. On Local Solutions of Degenerate Differential Inclusions. Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 1, pp. 79-83. http://geodesic.mathdoc.fr/item/FAA_2012_46_1_a8/

[1] Yu. G. Borisovich, B. D. Gelman, A. D. Myshkis, V. V. Obukhovskii, Vvedenie v teoriyu mnogoznachnykh otobrazhenii, KomKniga (URSS), M, 2005 | MR

[2] J. Saint Raymond, C. R. Acad. Sci. Paris, 298 (1984), 71–74 | MR | Zbl

[3] B. D. Gelman, Funkts. analiz i ego pril., 42:3 (2008), 78–81 | DOI | MR | Zbl