一类四阶非线性偏微分方程特征问题的迭代解  

The Iterative Solution of the Characteristic Problemof a Kind of Four Order Nonlinear Partial Differential Equation

作　　者：李文深[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》1991年第4期51-56,共6页Journal of Natural Science of Heilongjiang University

摘　　要：本文在Riemann函数的基础上,设计一恰当结构,经一定的积分、微分运算,得到一积分微分方程,利用Banch不动点原理,统一了本定解问题与所得积分微分方程之间的等价关系,依不动点原理该积分微分方程存在唯一解,因而本定解问题有唯一正测解,且可由该积分微分方程所给出的序列而获得本定解问题一致收敛的迭代解.On the basis of Riemann function, the paper gets a intergral differential equation by establishing a proper structure and some integral and differential computa-tions. The paper presents the equivalence relation between the fixed solution problem and the integral differential equation by using Banach fixed point theory. According to the fixed point theory, this equation problem not only has only one regular solution but also has the uniformly convergent iterative solution by the sequence resulted from the above-mentioned integral differential

关 键 词：非线性方程 特征问题 迭代解 

分 类 号：O175.29[理学—数学]