• Title of article

    Stochastic viability of convex sets ✩

  • Author/Authors

    Giuseppe Da Prato، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2007
  • Pages
    13
  • From page
    151
  • To page
    163
  • Abstract
    We investigate necessary and sufficient conditions for viability of a closed convex set K under weak solutions of a stochastic differential equation. These conditions are expressed in terms of the distance function to K. When in addition the boundary of K is smooth, then our necessary and sufficient conditions reduce to two relations that have to be verified just on the boundary of K. © 2006 Elsevier Inc. All rights reserved.
  • Keywords
    viability , Oriented distance , weak solution , stochastic differential equation
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2007
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    935980