运用Monch不动点定理,获得了Banach空间中一类N阶非线性混合型脉冲积分-微分方程边值问题解的存在性.最后给出一个三阶无穷脉冲积分-微分方程边值问题的例子来说明文中所给的条件是合理的.
By using the Monch fixed-point theorem, the existence of solutions of the boundary value problems for nth order nonlinear impulsive integro-differential equations in Banach spaces is obtained. Finally, an example for infinite system of scalar third order impulsive integro-differential equations is offered.