Stochastic antiderivational equations on non-Archimedean Banach spaces.
Ludkovsky, S. V. (2003)
International Journal of Mathematics and Mathematical Sciences
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Ludkovsky, S. V. (2003)
International Journal of Mathematics and Mathematical Sciences
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Ludkovsky, S. V. (2003)
International Journal of Mathematics and Mathematical Sciences
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Ludkovsky, S. V. (2003)
International Journal of Mathematics and Mathematical Sciences
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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.
A. Plucińska (1971)
Applicationes Mathematicae
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S.V. Azarina, Yu.E. Gliklikh (2007)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We introduce and investigate a new sort of stochastic differential inclusions on manifolds, given in terms of mean derivatives of a stochastic process, introduced by Nelson for the needs of the so called stochastic mechanics. This class of stochastic inclusions is ideologically the closest one to ordinary differential inclusions. For inclusions with forward mean derivatives on manifolds we prove some results on the existence of solutions.
T. Barth, A. U. Kussmaul (1981)
Annales scientifiques de l'Université de Clermont. Mathématiques
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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.
Z. Ivković, J. Vukmirović (1976)
Matematički Vesnik
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Z. Ivković, Yu. A. Rozanov (1972)
Publications de l'Institut Mathématique
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Francesco Guerra (1975)
Publications mathématiques et informatique de Rennes
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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...
Svetlana Janković (1998)
Zbornik Radova
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M. Métivier, J. Pellaumail (1976)
Publications mathématiques et informatique de Rennes
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