# Parametrization of Riemann-measurable selections for multifunctions of two variables with application to differential inclusions

Giovanni Anello; Paolo Cubiotti

Annales Polonici Mathematici (2004)

- Volume: 83, Issue: 2, page 179-187
- ISSN: 0066-2216

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topGiovanni Anello, and Paolo Cubiotti. "Parametrization of Riemann-measurable selections for multifunctions of two variables with application to differential inclusions." Annales Polonici Mathematici 83.2 (2004): 179-187. <http://eudml.org/doc/280456>.

@article{GiovanniAnello2004,

abstract = {We consider a multifunction $F:T×X → 2^E$, where T, X and E are separable metric spaces, with E complete. Assuming that F is jointly measurable in the product and a.e. lower semicontinuous in the second variable, we establish the existence of a selection for F which is measurable with respect to the first variable and a.e. continuous with respect to the second one. Our result is in the spirit of [11], where multifunctions of only one variable are considered.},

author = {Giovanni Anello, Paolo Cubiotti},

journal = {Annales Polonici Mathematici},

keywords = {lower semicontinuity},

language = {eng},

number = {2},

pages = {179-187},

title = {Parametrization of Riemann-measurable selections for multifunctions of two variables with application to differential inclusions},

url = {http://eudml.org/doc/280456},

volume = {83},

year = {2004},

}

TY - JOUR

AU - Giovanni Anello

AU - Paolo Cubiotti

TI - Parametrization of Riemann-measurable selections for multifunctions of two variables with application to differential inclusions

JO - Annales Polonici Mathematici

PY - 2004

VL - 83

IS - 2

SP - 179

EP - 187

AB - We consider a multifunction $F:T×X → 2^E$, where T, X and E are separable metric spaces, with E complete. Assuming that F is jointly measurable in the product and a.e. lower semicontinuous in the second variable, we establish the existence of a selection for F which is measurable with respect to the first variable and a.e. continuous with respect to the second one. Our result is in the spirit of [11], where multifunctions of only one variable are considered.

LA - eng

KW - lower semicontinuity

UR - http://eudml.org/doc/280456

ER -

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