一阶常微分方程周期边值问题的拟上下解方法  

A Method of Quasi-Upper and Lower Solutions for Periodic Boundary Value Problems of One-order Ordinary Differential Equation

作　　者：张骞[1] 

机构地区：[1]陇东学院数学系,甘肃庆阳745000

出　　处：《江汉大学学报（自然科学版）》2010年第4期9-11,共3页Journal of Jianghan University：Natural Science Edition

基　　金：甘肃省教育厅科研基金项目(0710-04)

摘　　要：给出了一阶常微分方程周期边值问题的拟上下解概念,并得到了最大、最小拟解的存在性以及任一拟解对的单调迭代序列.The concept of quasi-upper and lower solutions is given for the periodic boundary value problem of one-order ordinary differential equation.The existence of the minimal and maximal quasi-solutions and the monotone iterative sequences of any coupled quasi-solutions are obtained.

关 键 词：周期边值 拟上下解 单调迭代 

分 类 号：O175.15[理学—数学]