Banach空间中含有无穷多个跳跃点的一阶脉冲积分-微分方程的无穷边值问题

Infinite Boundary Value Problems for First Order Integro-Differential Equations with Infinite Skip Points in a Banach Space

通过建立一个新的比较引理,应用上下解方法和单调迭代技术,研究了Banach空间中含有无穷多个跳跃点的一阶脉冲积分-微分方程无穷边值问题在任意闭区间上最小解和最大解的存在性.

By establishing a comparison result and using the method of upper and lower solutions and the monotone iterative technique, the author investigates the existence of minimal and maximal solutions on an arbitrary finite interval of infinite boundary value problem for first order impulsive integro-differential equations with infinite skip points in a Banach space.