Electronic Journal of Differential Equations, Vol. 2004(2004), No. 31, pp. 1-14. Title: N-th order impulsive integro-differential equations in Banach spaces Authors: Manfeng Hu (Jiangnan Univ., China) Jiang Zhu (Xuzhou Normal Univ., China) Abstract: We investigate the maximal and minimal solutions of initial value problem for N-th order nonlinear impulsive integro-differential equation in Banach space by establishing a comparison result and using the upper and lower solutions methods. Submitted August 14, 2003. Published March 3, 2004. Math Subject Classifications: 45J05, 47H07, 34A12. Key Words: Integro-differential equations in Banach spaces; cone; partial ordering; monotone iterative technique.