一类非线性方程的初边值问题  

The Initial and Boundary Value Problem of the First Kindof Non-Linear Equation

作　　者：李文深[1] 吕海波[1] 罗嗣卿[1] 

机构地区：[1]东北林业大学数学系

出　　处：《黑龙江大学自然科学学报》1992年第3期42-47,共6页Journal of Natural Science of Heilongjiang University

摘　　要：本文依齐次边界条件的特点用分离变量方法,分解非线性方程的初边值问题为sturm-Liouville问题和非线性常微分方程的初值问题两部分,对后者,采用修正的完全近似方法而求得二阶近似解析解。藕合后,依迭加方法而获得非线性方程初边值问题的近似解析解．Abstract This paper, according to homogeneous boundary conditions, using separation of variables, changes the initial and boundary value problem of the non 條inear equation into Sturm-Liourille problem and the initial value problem of a non-linear ordinary differential equation. For these two parts, the paper gets a two -order approximate analytic solution through a revised complete approximation method. After connecting, the pqper gives an approximate analytic solution of the initial and boundary value problem of the original non-linear equation by making use of principle of superposition.

关 键 词：S-L问题 非线性方程 初边值问题 

分 类 号：O175.14[理学—数学]