二阶线性抛物型方程可变换为常微分方程求解定理  

The Solving Theorem of Second Order Linear Parabolic Equation Changeable into Ordinary Differential Equation

作　　者：刘许成[1] 

机构地区：[1]潍坊学院数学系,山东潍坊261041

出　　处：《广西师范学院学报（自然科学版）》2004年第3期22-25,共4页Journal of Guangxi Teachers Education University(Natural Science Edition)

摘　　要：二个自变量的二阶线性抛物型方程auxx+2buxy+cuyy+dux+euy+g=0,当系数满足一定条件时,可以利用变换T:ξ=φ(x,y);η=x化为一阶线性常微分方程求解,该文给出了判别定理和应用方法.To the second order linear parabolic equation with independent variables au_(xx)+2bu_(xy)+cu_(yy)+du_x+eu_y+g=0 when its coefficients satisfy given conditions,we may utilize the transformation T:ξ=φ(x,y);η=x to make it as first order linear ordinary differential equation for solving.At the same time,we give the discrimination theorem and application method.

关 键 词：二阶线性抛物型方程 特征线 特征方程 

分 类 号：O175.26[理学—数学]