| 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 | 
| . | 
| Category: | math | 
| . | 
| MSC: | 26A99 | 
| MSC: | 26B99 | 
| MSC: | 26E25 | 
| MSC: | 34A60 | 
| MSC: | 34A99 | 
| idZBL: | Zbl 0816.34010 | 
| idMR: | MR1288168 | 
| DOI: | 10.21136/CMJ.1994.128474 | 
| . | 
| Date available: | 2009-09-24T09:41:03Z | 
| Last updated: | 2020-07-29 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/128474 | 
| . | 
| 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 | 
| . |