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Selection theorems for stochastic set-valued integrals

Michał Kisielewicz

Discussiones Mathematicae Probability and Statistics (2001)

  • Volume: 21, Issue: 1, page 63-75
  • ISSN: 1509-9423

Abstract

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Some special selections theorems for stochastic set-valued integrals with respect to the Lebesgue measure are given.

How to cite

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Michał Kisielewicz. "Selection theorems for stochastic set-valued integrals." Discussiones Mathematicae Probability and Statistics 21.1 (2001): 63-75. <http://eudml.org/doc/287597>.

@article{MichałKisielewicz2001,
abstract = {Some special selections theorems for stochastic set-valued integrals with respect to the Lebesgue measure are given.},
author = {Michał Kisielewicz},
journal = {Discussiones Mathematicae Probability and Statistics},
keywords = {stochastic set-valued integrals; nonanticipated stochastic processes; diagonal convexity; selections; selection Theorem for Stochastic Set–Valued Integrals},
language = {eng},
number = {1},
pages = {63-75},
title = {Selection theorems for stochastic set-valued integrals},
url = {http://eudml.org/doc/287597},
volume = {21},
year = {2001},
}

TY - JOUR
AU - Michał Kisielewicz
TI - Selection theorems for stochastic set-valued integrals
JO - Discussiones Mathematicae Probability and Statistics
PY - 2001
VL - 21
IS - 1
SP - 63
EP - 75
AB - Some special selections theorems for stochastic set-valued integrals with respect to the Lebesgue measure are given.
LA - eng
KW - stochastic set-valued integrals; nonanticipated stochastic processes; diagonal convexity; selections; selection Theorem for Stochastic Set–Valued Integrals
UR - http://eudml.org/doc/287597
ER -

References

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  1. [1] M. Kisielewicz, Set-valued stochastic integrals and stochastic inclusions, Stoch. Anal. Appl. 15 (5) (1997), 783-800. Zbl0891.93070
  2. [2] M. Kisielewicz, Differential Inclusions and Optimal Control, Kluwer Acad. Publ., PWN, Dortrecht-Boston-London-Warszawa 1991. Zbl0731.49001
  3. [3] M. Kisielewicz, Weak compactness of solution set of stochastic differential inclusions, Topol. Meth. in Nonlin. Anal. (presented to print). 
  4. [4] L. Rybiński, On Carathéodory type selections, Fund. Math. 125 (1985), 187-193. Zbl0614.28005

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