Banach空间中二阶非线性脉冲积分-微分方程的初值问题

Initial Value Problems for Second Order Nonlinear Impulsive Integro-differential Equations in Banach Spaces

讨论脉冲为非线性形式的二阶脉冲积分 -微分方程的初值问题 .利用单调迭代技巧、锥理论和上下解方法 ,得到了最小解与最大解的存在性及迭代逼近定理 .

This paper discusses the initial value problem for second order impulsive integro differential equations with nonlinear impulse. An existence and iterative approximating theorem of the minimal and maximal solutions is obtained by applying the monotone iterative technique, the cone theory and the low upper solution method which generalizes the related results in the case of linear impulse.