一次脉冲周期边值问题解的存在及收敛性

Existence and Convergence of Solutions for First-Order Impulsive Periodic Boundary Value Problems

带有周期边值条件的脉冲泛函微分方程经常会出现在物理学等问题的研究中.本文用单调迭代技术和拟线性方法来探讨一类脉冲泛函微分方程周期边值问题解的存在性及收敛性.研究表明,方程上下解的单调序列快速收敛于方程的唯一解.

Impulsive functional differential equations with periodic boundary value conditions often arise in the study of physics. In this paper, we obtain the existence and convergence of solution sequences for a class of the periodic boundary value problems for impulsive functional differential equations by the monotone iterative technique and the quasilinearization method. We find that the monotone sequences of upper and lower solutions converge quickly to the unique solution of the equation.