Local and global existence and uniqueness results for impulsive functional differential equations with multiple delay (Q852756)

New existence and uniqueness results are established for the impulsive functional differential equation \[ \begin{cases} x'(t)=f(t,x_t)+\sum_{i=1}^m x(t-T_i),& t\not=t_k\\ x(t_k^+)-x(t_k^-)=I_k(t_k^-),&k\in N. \end{cases} \] For the proof of the main results some new fixed point theorems are applied.