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 |
. |