# On Differential Inclusions with Unbounded Right-Hand Side

Serdica Mathematical Journal (2011)

- Volume: 37, Issue: 1, page 1-8
- ISSN: 1310-6600

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topBenahmed, 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 -

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