Cylindrical Stochastic Integral
M. Métivier, J. Pellaumail (1976)
Publications mathématiques et informatique de Rennes
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M. Métivier, J. Pellaumail (1976)
Publications mathématiques et informatique de Rennes
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Sridharan, V., Kalyani, T.V. (2005)
APPS. Applied Sciences
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J. Gani (1966-1967)
Publications mathématiques et informatique de Rennes
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Michał Kisielewicz (1997)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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The definition and some existence theorems for stochastic differential inclusions depending only on selections theorems are given.
Fabio Bagarello (2006)
Banach Center Publications
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M. Métivier, J. Pellaumail (1977)
Publications mathématiques et informatique de Rennes
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Artstein, Zvi, Wets, Roger J.B. (1995)
Journal of Convex Analysis
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Ivo Vrkoč (1969)
Czechoslovak Mathematical Journal
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Michał Kisielewicz (1999)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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The definition and some existence theorems for stochastic differential inclusion dZₜ ∈ F(Zₜ)dXₜ, where F and X are set valued stochastic processes, are given.
Micha Kisielewicz (2003)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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The Girsanov's theorem is useful as well in the general theory of stochastic analysis as well in its applications. We show here that it can be also applied to the theory of stochastic differential inclusions. In particular, we obtain some special properties of sets of weak solutions to some type of these inclusions.