Non-anticipative Integral Transformations of Stochastic Processes
Ljiljana Petrović (1983)
Publications de l'Institut Mathématique
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Ljiljana Petrović (1983)
Publications de l'Institut Mathématique
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A. Plucińska (1971)
Applicationes Mathematicae
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Michał Kisielewicz (2006)
Discussiones Mathematicae Probability and Statistics
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Some sufficient conditins for tightness of continuous stochastic processes is given. It is verified that in the classical tightness sufficient conditions for continuous stochastic processes it is possible to take a continuous nondecreasing stochastic process instead of a deterministic function one.
Z. Ivković, J. Vukmirović (1976)
Matematički Vesnik
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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.
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.
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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Z. Ivković, Yu. A. Rozanov (1972)
Publications de l'Institut Mathématique
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Artstein, Zvi, Wets, Roger J.B. (1995)
Journal of Convex Analysis
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J. Gani (1966-1967)
Publications mathématiques et informatique de Rennes
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Dražen Pantić (1994)
Publications de l'Institut Mathématique
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Fabio Bagarello (2006)
Banach Center Publications
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Sládeček, Ladislav (2003)
Applied Mathematics E-Notes [electronic only]
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Nadzeya V. Bedziuk, Aleh L. Yablonski (2010)
Banach Center Publications
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We consider an ordinary or stochastic nonlinear equation with generalized coefficients as an equation in differentials in the algebra of new generalized functions in the sense of [8]. Consequently, the solution of such an equation is a new generalized function. We formulate conditions under which the solution of a given equation in the algebra of new generalized functions is associated with an ordinary function or process. Moreover the class of all possible associated functions and processes...