含间断项的二阶周期边值问题的拟上下解方法

The method of quasi-upper and lower solutions for second order periodic boundary value problems with discontinuous terms

利用拟上下解方法和混合单调迭代法,研究了Banach空间中含间断项的二阶非线性微分方程周期边值问题解的存在唯一性,并给出逼近解迭代序列的误差估计.

By using the method of quasi-upper and lower solutions and the mixed monotone iterative technique,the existence and uniqueness of solution of periodic boundary value problems for second-order nonlinear differential equations with discontinuous terms in Banach spaces are obtained.The error estimate of the iterative sequences of approximation solutions is given.