含间断项微分方程初值问题的拟上下解方法  

The Method of Quasi-upper and Lower Solutions for Initial Value Problems of Differential Equations with Discontinuous Terms

作　　者：陆海霞[1] 

机构地区：[1]宿迁学院教师教育系,江苏宿迁223800

出　　处：《甘肃科学学报》2010年第4期24-27,共4页Journal of Gansu Sciences

基　　金：国家自然科学基金资助项目(10971197);宿迁学院科研基金资助项目(2008KY07)

摘　　要：利用拟上下解方法和混合单调迭代法,研究了Banach空间中含间断项的一阶非线性微分方程初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 tech- nique, the existence and unique solution of initial value problems are studied for one order nonlinear differential equations with discontinuous terms in Banach spaces. The error estimate of the iterative sequences of approximation solutions is given.

关 键 词：拟上下解 混合单调迭代方法 初值问题 

分 类 号：O175.15[理学—数学]