An Infinitesimal Approach to Stochastic Analysis

· American Mathematical Society: Memoirs of the American Mathematical Society Ibhuku elingu-297 · American Mathematical Soc.
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Izilinganiso nezibuyekezo aziqinisekisiwe  Funda Kabanzi

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This monograph uses Robinson's infinitesimal (i.e., nonstandard) analysis to study stochastic integral equations with respect to a Brownian motion. By using a combination of standard and infinitesimal methods, we obtain new results about stochastic integral equations which can be stated in standard terms.

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