Initial and boundary value problems for fuzzy differential equations. (Q1395856)

The authors consider an existence result of Wintner-type for the fuzzy initial value problem \[ x'(t)= f(t, x(t))\quad\text{for }t\in [0,T],\quad x(0)= x_0\in E^n, \] and an existence result of superlinear type for the fuzzy boundary value problem \[ x''(t)= f(t, x(t))\quad\text{for } t\in [0,1],\quad x(0)= x(1)= 0\in E^n, \] where \(f:[0,a]\times E^n\to E^n\) is continuous.