• Title of article

    Solutions to a stationary nonlinear Black–Scholes type equation

  • Author/Authors

    P. Amster، نويسنده , , C.G. Averbuj، نويسنده , , M.C. Mariani، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2002
  • Pages
    8
  • From page
    231
  • To page
    238
  • Abstract
    We study by topological methods a nonlinear differential equation generalizing the Black–Scholes formula for an option pricing model with stochastic volatility. We prove the existence of at least a solution of the stationary Dirichlet problem applying an upper and lower solutions method. Moreover, we construct a solution by an iterative procedure.  2002 Elsevier Science (USA). All rights reserved
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2002
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    930303