Second-Order Viability Problem: A Baire Category Approach
Myelkebir Aitalioubrahim; Said Sajid
Bulletin of the Polish Academy of Sciences. Mathematics (2009)
- Volume: 57, Issue: 1, page 9-23
- ISSN: 0239-7269
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topMyelkebir Aitalioubrahim, and Said Sajid. "Second-Order Viability Problem: A Baire Category Approach." Bulletin of the Polish Academy of Sciences. Mathematics 57.1 (2009): 9-23. <http://eudml.org/doc/281201>.
@article{MyelkebirAitalioubrahim2009,
abstract = {
The paper deals with the existence of viable solutions to the differential inclusion
ẍ(t) ∈ f(t,x(t)) + ext F(t,x(t)),
where f is a single-valued map and ext F(t,x) stands for the extreme points of a continuous, convex and noncompact set-valued mapping F with nonempty interior.
},
author = {Myelkebir Aitalioubrahim, Said Sajid},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {viability; differential inclusion; extreme points; Baire category theorem},
language = {eng},
number = {1},
pages = {9-23},
title = {Second-Order Viability Problem: A Baire Category Approach},
url = {http://eudml.org/doc/281201},
volume = {57},
year = {2009},
}
TY - JOUR
AU - Myelkebir Aitalioubrahim
AU - Said Sajid
TI - Second-Order Viability Problem: A Baire Category Approach
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2009
VL - 57
IS - 1
SP - 9
EP - 23
AB -
The paper deals with the existence of viable solutions to the differential inclusion
ẍ(t) ∈ f(t,x(t)) + ext F(t,x(t)),
where f is a single-valued map and ext F(t,x) stands for the extreme points of a continuous, convex and noncompact set-valued mapping F with nonempty interior.
LA - eng
KW - viability; differential inclusion; extreme points; Baire category theorem
UR - http://eudml.org/doc/281201
ER -
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