• Title of article

    Differential Equations with Fuzzy Parameters via Differential Inclusions

  • Author/Authors

    Tadeusz Rze?zuchowski and Janusz Wa¸sowski1، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2001
  • Pages
    18
  • From page
    177
  • To page
    194
  • Abstract
    We give a definition of solutions of ordinary differential equations in n containing parameters which are described by changing in time fuzzy sets. They are defined as fuzzy subsets of the space of absolutely continuous functions. We introduce a hypograph metric in the space of fuzzy sets and prove a theorem on continuous dependence of fuzzy solutions on parameters and initial conditions with respect to that metric.
  • Keywords
    ordinary differential equations , ?-cuts , hypograph metric , continuous dependence. , Fuzzy parameters , differentialinclusions
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2001
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    932486