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In the paper we consider Ito equation on a Hilbert space. We give necessary and sufficient conditions ensuring the invariance property of linear subspaces of the state space by mild solutions to the equation.
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Czasopismo
Rocznik
Tom
Strony
425--430
Opis fizyczny
Bibliogr. 7 poz.
Twórcy
autor
- Institute of Mathematics Cracow University of Technology ul. Warszawska 24 31-155 Kraków, Poland
Bibliografia
- [1] Da Prato G., Zabczyk J., Stochastic Equations in Infinite Dimensions, 1992, Cambridge University Press.
- [2] Filipović D., Invariant Manifolds for Weak Solutions to Stochastic Equations, Working paper, Department of Mathematics, ETH, Switzerland (1999).
- [3] Goncharuk N., Kotelenez P., Fractional Step Method for Stochastic Evolution Equations, Preprint 96-144 (1996), 1-37.
- [4] Jachimiak W., Stochastic Invariance in Infinite Dimension, Preprint 591, Polish Acad. Sc. (Warsaw, 1998).
- [5] Kotelenez P., Comparison methods for a class of function valued stochastic partial differential equations, Probability Theory and Related Fields (1992), 1-19.
- [6] Milian A., Comparison Theorems for Stochastic Evolution Equations, Preprint 591, Polish Acad. Sc. (Warsaw, 1998).
- [7] Tessitore G., Zabczyk J., Comments on Transition Semigroups and Stochastic Invariance, Scuola Normale Superiore, Pisa, Preprint di Matematica, n.15 (1998), 1-15.
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA1-0039-0008