Probability Theory and Related Fields

, Volume 83, Issue 3, pp 391–403 | Cite as

Approximation of stochastic equations driven by predictable processes

  • Guillermo Ferreyra


A theory of stochastic differential equations driven by predictable processes in Stratonovich sense is developed. These driving processes include a large class of discontinuous semimartingales. The theory of stochastic differential equations driven by continuous semimartingales in Stratonovich sense is extended without involving Lebesgue-Stieltjes integrals as done by Meyer. Moreover, a change of variables formula without extra terms involving the jumps of the processes holds for this theory. Results on approximation of driving processes are preserved.


Differential Equation Stochastic Process Probability Theory Large Class Mathematical Biology 
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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Guillermo Ferreyra
    • 1
  1. 1.Lefschetz Center for Dynamical Systems, Division of Applied MathematicsBrown UniversityProvidenceUSA

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