Periodic problem of first order nonlinear uncertain dynamic systems

The solution to fuzzy differential equation is very important for solving the uncertainly practical problems in the real world. In this paper, the definition of solution for periodic problems of fuzzy differential equations based on the theory of differential inclusions is given. Using the theory of differential inclusions, function analysis and Kakutani Fixed point theorem, an existence theorem of periodic solutions to first order uncertain dynamical systems is obtained in a more general set.