On a certain converse statement of the Filippov-Ważewski relaxation theorem

Aurelian Cernea

Commentationes Mathematicae Universitatis Carolinae (2001)

  • Volume: 42, Issue: 1, page 77-81
  • ISSN: 0010-2628

Abstract

top
A certain converse statement of the Filippov-Wažewski theorem is proved. This result extends to the case of time dependent differential inclusions a previous result of Jo’o and Tallos in [5] obtained for autonomous differential inclusions.

How to cite

top

Cernea, Aurelian. "On a certain converse statement of the Filippov-Ważewski relaxation theorem." Commentationes Mathematicae Universitatis Carolinae 42.1 (2001): 77-81. <http://eudml.org/doc/248776>.

@article{Cernea2001,
abstract = {A certain converse statement of the Filippov-Wažewski theorem is proved. This result extends to the case of time dependent differential inclusions a previous result of Jo’o and Tallos in [5] obtained for autonomous differential inclusions.},
author = {Cernea, Aurelian},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {differential inclusion; relaxation property; tangent cone; differential inclusion; relaxation property; contingent cone; quasitangent cone},
language = {eng},
number = {1},
pages = {77-81},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On a certain converse statement of the Filippov-Ważewski relaxation theorem},
url = {http://eudml.org/doc/248776},
volume = {42},
year = {2001},
}

TY - JOUR
AU - Cernea, Aurelian
TI - On a certain converse statement of the Filippov-Ważewski relaxation theorem
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2001
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 42
IS - 1
SP - 77
EP - 81
AB - A certain converse statement of the Filippov-Wažewski theorem is proved. This result extends to the case of time dependent differential inclusions a previous result of Jo’o and Tallos in [5] obtained for autonomous differential inclusions.
LA - eng
KW - differential inclusion; relaxation property; tangent cone; differential inclusion; relaxation property; contingent cone; quasitangent cone
UR - http://eudml.org/doc/248776
ER -

References

top
  1. Aubin J.P., Cellina A., Differential Inclusions, Springer, Berlin, 1984. Zbl0538.34007MR0755330
  2. Aubin J.P., Frankowska H., Set-valued Analysis, Birkhäuser, Basel, Boston, 1989. Zbl1168.49014MR1048347
  3. Frankowska H., Local controllability and infinitesimal generators of semi-groups of set-valued maps, SIAM J. Control Optim. 25 (1987), 412-431. (1987) MR0877070
  4. Frankowska H., Control of Nonlinear Systems and Differential Inclusions, Birkhäuser, to appear. 
  5. Joó I., Tallos P., The Filippov-Wažewski Relaxation Theorem revisited, Acta Math. Hungar. 83 (1999), 171-177. (1999) MR1682910
  6. Zhu Q.J., On the solution set of differential inclusions in Banach space, J. Differential Equations 93 (1991), 213-237. (1991) Zbl0735.34017MR1125218

NotesEmbed ?

top

You must be logged in to post comments.