On Differential Inclusions with Unbounded Right-Hand Side

Benahmed, S.. "On Differential Inclusions with Unbounded Right-Hand Side." Serdica Mathematical Journal 37.1 (2011): 1-8. <http://eudml.org/doc/281573>.

@article{Benahmed2011,
abstract = {2000 Mathematics Subject Classification: 58C06, 47H10, 34A60.The classical Filippov’s Theorem on existence of a local trajectory of the differential inclusion [x](t) О F(t,x(t)) requires the right-hand side F(·,·) to be Lipschitzian with respect to the Hausdorff distance and then to be bounded-valued. We give an extension of the quoted result under a weaker assumption, used by Ioffe in [J. Convex Anal. 13 (2006), 353-362], allowing unbounded right-hand side.},
author = {Benahmed, S.},
journal = {Serdica Mathematical Journal},
keywords = {Fixed Point; Differential Inclusin; Multifunction; Measurable Selection; Pseudo-Lipchitzness; fixed point; differential inclusion; multifunction; measurable selection; pseudo-Lipchitzness.},
language = {eng},
number = {1},
pages = {1-8},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On Differential Inclusions with Unbounded Right-Hand Side},
url = {http://eudml.org/doc/281573},
volume = {37},
year = {2011},
}

TY - JOUR
AU - Benahmed, S.
TI - On Differential Inclusions with Unbounded Right-Hand Side
JO - Serdica Mathematical Journal
PY - 2011
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 37
IS - 1
SP - 1
EP - 8
AB - 2000 Mathematics Subject Classification: 58C06, 47H10, 34A60.The classical Filippov’s Theorem on existence of a local trajectory of the differential inclusion [x](t) О F(t,x(t)) requires the right-hand side F(·,·) to be Lipschitzian with respect to the Hausdorff distance and then to be bounded-valued. We give an extension of the quoted result under a weaker assumption, used by Ioffe in [J. Convex Anal. 13 (2006), 353-362], allowing unbounded right-hand side.
LA - eng
KW - Fixed Point; Differential Inclusin; Multifunction; Measurable Selection; Pseudo-Lipchitzness; fixed point; differential inclusion; multifunction; measurable selection; pseudo-Lipchitzness.
UR - http://eudml.org/doc/281573
ER -