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夹逼准则与微分方程的上下解方法
引用本文:黄甬穗.夹逼准则与微分方程的上下解方法[J].金华职业技术学院学报,2008,8(6):74-77.
作者姓名:黄甬穗
作者单位:泉州经贸学院,福建,泉州,362000
摘    要:引进微分方程上下解的概念,应用极限夹逼准则思想,以椭圆型偏微分方程为例,用上解与下解来夹逼证明了半线性椭圆型偏微分方程边值问题解的存在性。

关 键 词:夹逼  椭圆  上下解

Squeeze Rule and the Upper and Lower Solutions Method for Differential Equation
HUANG Yong-sui.Squeeze Rule and the Upper and Lower Solutions Method for Differential Equation[J].Journal of Jinhua College of Profession and Technology,2008,8(6):74-77.
Authors:HUANG Yong-sui
Institution:HUANG Yong-sui ( Quanzhou Conomic Institute, Quanzhou 362000, China)
Abstract:This article introduces the Upper and Lower Solutions Method for differential equations,applicationing limit squeeze rule and taking elliptic partial differential equations as an example.It adopts the Upper and Lower Solution to prove the Semi-linear elliptic differential equation of the existence of the boundary value problems.
Keywords:squeeze  ellipse  Upper and Lower Solutions
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