具有脉冲积分条件的泛函微分方程解的存在性和二阶收敛性

Existence and quadratic convergence of solution sequences for functional differential equations with an impulsive integral condition

讨论一类具有脉冲积分条件的非线性一次脉冲泛函微分方程反周期边值问题的解序列的存在性、一致收敛性和二阶收敛性。主要工具是单调迭代技术和拟线性方法。

The uniform existence and quadratic convergence of solution sequences for a class of nonlinear first order impulsive functional differential equations under anti-periodic boundary value conditions with an impulsive integral condition is discussed.The main tools are the monotone iterative technique and the method of quasilinearization.