Banach空间含间断项的二阶非线性脉冲微分方程终值问题

Terminal Value Problems for Second-Order Nonlinear Impulsive Differential Equations with Discontinuous Terms in Banach Spaces

本文讨论了Banach空间含间断项的一类二阶非线性脉冲微分方程终值问题,应用不动点定理与上下解方法,获得了其最大解和最小解的存在性.

By using the lower and upper solution method, the terminal value problems for a kind of second - order nonlinear impulsive differential equations with discontinuous terms in Banach space are considered, and the existence of maximal and minimal solutions are obtained.