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Title: Filippov's operation and some attributes (English)
Author: Spraker, John S.
Author: Biles, Daniel C.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 44
Issue: 3
Year: 1994
Pages: 513-520
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Category: math
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MSC: 26A99
MSC: 26B99
MSC: 26E25
MSC: 34A60
MSC: 34A99
idZBL: Zbl 0816.34010
idMR: MR1288168
DOI: 10.21136/CMJ.1994.128474
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Date available: 2009-09-24T09:41:03Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/128474
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Reference: [1] Aubin, J.-P. and Cellina, A.: Differential Inclusions.Springer-Verlag, Berlin, 1984. MR 0755330
Reference: [2] Biles, D. C. and Spraker, J. S.: A study of almost-everywhere singleton-valued Filippovs.Proc. Amer. Math. Soc. 114 (1992), 469–473. MR 1074749, 10.1090/S0002-9939-1992-1074749-X
Reference: [3] Biles, D. C. and Spraker, J. S.: A generalization of Filippov’s and Krasovskij’s operations.Submitted for publication.
Reference: [4] Denkowska, Z. and Denkowski, Z.: Generalized solutions to ordinary differential equations with discontinuous right-hand sides via $\Gamma $-convergence.In Partial Differential Equations and the Calculus of Variations, Vol. I, Birkhäuser Boston, Boston, 1989, pp. 371–400. MR 1034013
Reference: [5] Filippov, A. F.: Differential equations with discontinuous right-hand side.Mat. Sb. 51 (1960), 99–128. (Russian) MR 0114016
Reference: [6] Filippov, A. F.: Differential Equations with Discontinuous Righthand Sides, Kluwer Academic Publisher, Boston, 1988.. MR 1028776
Reference: [7] Hájek, O.: Discontinuous differential equations, I.Journal of Differential Equations 32 (1979), 149–170. MR 0534546, 10.1016/0022-0396(79)90056-1
Reference: [8] Jarnik, J.: Multivalued mappings and Filippov’s operation.Czechoslovak Math. J. 31 (1981), 275–288. Zbl 0473.34018, MR 0611080
Reference: [9] Kurzweil, J.: Ordinary Differential Equations.Elsevier, Amsterdam, 1986. Zbl 0756.34003, MR 0929466
Reference: [10] Vrkoč, I.: Scorza-Dragoni property of Filippov mappings.Tohuku Math. Journ., Ser. II 32 (1980), 309–316. MR 0580285, 10.2748/tmj/1178229646
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