• Title of article

    Backward stochastic Volterra integral equations and some related problems

  • Author/Authors

    Yong، نويسنده , , Jiongmin Yong، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2006
  • Pages
    17
  • From page
    779
  • To page
    795
  • Abstract
    Backward stochastic Volterra integral equations (BSVIEs, for short) are introduced. The existence and uniqueness of adapted solutions are established. A duality principle between linear BSVIEs and (forward) stochastic Volterra integral equations is obtained. As applications of the duality principle, a comparison theorem is proved for the adapted solutions of BSVIEs, and a Pontryagin type maximum principle is established for an optimal control of stochastic integral equations.
  • Keywords
    Backward stochastic Volterra integral equation , Duality principle , Comparison theorem , Adapted solutions , Pontryagin maximum principle
  • Journal title
    Stochastic Processes and their Applications
  • Serial Year
    2006
  • Journal title
    Stochastic Processes and their Applications
  • Record number

    1577788