一类常微分方程的拟上下解方法  

The Method of Quasi-upper and Lower Solutions for Ordinary Differential Equations

作　　者：张骞[1] 

机构地区：[1]陇东学院数学系,甘肃庆阳745000

出　　处：《喀什师范学院学报》2010年第6期5-7,共3页Journal of Kashgar Teachers College

基　　金：甘肃省教育厅科研基金项目(0710-04)

摘　　要：针对一阶常微分方程的周期边值问题u′=f(t,u)和u(0)=u(2π),给出拟上下解的概念,并得到最大、最小拟解的存在性以及任一拟解对的单调迭代序列.We consider the method of upper and lower solutions for the following one-order ordinary differential equations with periodic boundary value condition u＇=f（t,u） ,u（0）=u（2π）The concept of the quasi-upper and lower solutions are given, and then we obtain the existence theorem of the minimal and maximal quasi - upper and lower mlutions for the above one order ordinary differential equations. We also get the monotone iterative sequences of the any Quasi-Solutions Pairs.

关 键 词：周期边值 拟上下解 单调迭代 

分 类 号：O175.8[理学—数学]