| 一类非线性方程解的blow up及局部迭代解 |
| |
| 引用本文： | 李文深 王劲书. 一类非线性方程解的blow up及局部迭代解[J]. 东北林业大学学报, 1992, 20(4): 80-88 |
| |
| 作者姓名： | 李文深 王劲书 |
| |
| 作者单位： | 东北林业大学(李文深)，哈尔滨木器厂(王劲书) |
| |
| 摘 要： | 本文以一种变换。化非线性方程为非线性抛物型方程,并利用凸性方法及最大值原理证明其初边值问题的解于有限时间内blow up. 然后借助于Riemann函数。设计一结构,由此经积分而变原问题为积分微分方程,再依不动点原理证明它与原问题等价,且由该积分微分方程而求得一致收敛的迭代解。
|
| 关 键 词： | 非线性方程 局部迭代解 |
THE BLOW UP SOLUTION AND LOCALLY INTERATIVE SOLUTION OF THE FIRST KIND NON-LINEAR EQUATION |
| |
| Li Wenshen. THE BLOW UP SOLUTION AND LOCALLY INTERATIVE SOLUTION OF THE FIRST KIND NON-LINEAR EQUATION[J]. Journal of Northeast Forestry University, 1992, 20(4): 80-88 |
| |
| Authors: | Li Wenshen |
| |
| Affiliation: | Li Wenshen(Northeast Forestry University) Wang Jinshu(Harbin Wood Products Factory) |
| |
| Abstract: | The paper changes the non-linear equation into a non-linear parabolic equation by a kind of change and proves the blow up of solution of its initial boundary value problem in finite time by using convexity method and maximum principle.Then,designing a structure by way of Riemann function, it changes the original problem into an integral and differential equation through integral, proves them equivalent according to fixed-point theorem, and gets the uniformly convergent interative solution on the basis of integral and differential equation. |
| |
| Keywords: | Non-linear equations Solution Convexity method Maximum principle Riemann function Fixed-point Uniformly convergent |
| 本文献已被 CNKI 维普 等数据库收录！ |
