Displaying similar documents to “Homotopy and Homology Vanishing Theorems and the Stability of Stochastic Flows.”

Homotopy Invariance of Transverse Homology Functors

Sara Dragotti, Gaetano Magro, Lucio Parlato (2007)

Bollettino dell'Unione Matematica Italiana

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We construct, here, transverse homology functors, and we prove their invariance with respect to a suitable definition of homotopy.

An averaging principle for stochastic evolution equations. II.

Bohdan Maslowski, Jan Seidler, Ivo Vrkoč (1991)

Mathematica Bohemica

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In the present paper integral continuity theorems for solutions of stochastic evolution equations of parabolic type on unbounded time intervals are established. For this purpose, the asymptotic stability of stochastic partial differential equations is investigated, the results obtained being of independent interest. Stochastic evolution equations are treated as equations in Hilbert spaces within the framework of the semigroup approach.

Stochastic differential inclusions

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.