Basic results for fuzzy impulsive differential equations (Q2720285)

Here, the authors consider a theory on fuzzy impulsive differential equations combining the theories on impulsive differential equations and fuzzy differential equations. The authors study the following initial value problem for the fuzzy impulsive differential equation NEWLINE\[NEWLINEu'= f(t,u),\quad t\neq t_k,\quad u(t^+_k)= u(t_k)+ I_k(u(t_k)),\quad u(t_0)= u_0,NEWLINE\]NEWLINE and prove a typical result in a Lyapunov-like theory on the above fuzzy impulsive differential equation.