# On functional differential inclusions in Hilbert spaces

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2012)

- Volume: 32, Issue: 1, page 63-85
- ISSN: 1509-9407

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topMyelkebir Aitalioubrahim. "On functional differential inclusions in Hilbert spaces." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 32.1 (2012): 63-85. <http://eudml.org/doc/270498>.

@article{MyelkebirAitalioubrahim2012,

abstract = {We prove the existence of monotone solutions, of the functional differential inclusion ẋ(t) ∈ f(t,T(t)x) +F(T(t)x) in a Hilbert space, where f is a Carathéodory single-valued mapping and F is an upper semicontinuous set-valued mapping with compact values contained in the Clarke subdifferential $∂_\{c\} V(x)$ of a uniformly regular function V.},

author = {Myelkebir Aitalioubrahim},

journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},

keywords = {functional differential inclusion; regularity; Clarke subdifferential},

language = {eng},

number = {1},

pages = {63-85},

title = {On functional differential inclusions in Hilbert spaces},

url = {http://eudml.org/doc/270498},

volume = {32},

year = {2012},

}

TY - JOUR

AU - Myelkebir Aitalioubrahim

TI - On functional differential inclusions in Hilbert spaces

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 2012

VL - 32

IS - 1

SP - 63

EP - 85

AB - We prove the existence of monotone solutions, of the functional differential inclusion ẋ(t) ∈ f(t,T(t)x) +F(T(t)x) in a Hilbert space, where f is a Carathéodory single-valued mapping and F is an upper semicontinuous set-valued mapping with compact values contained in the Clarke subdifferential $∂_{c} V(x)$ of a uniformly regular function V.

LA - eng

KW - functional differential inclusion; regularity; Clarke subdifferential

UR - http://eudml.org/doc/270498

ER -

## References

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