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| 一个常微分方程的整体解存在性 | |
| 引用本文： | 周瑞岩,王催. 一个常微分方程的整体解存在性[J]. 计算机与数字工程, 2011, 39(12): 31-32,118 |
| 作者姓名： | 周瑞岩 王催 |
| 作者单位： | 1. 91404部队92分队,秦皇岛066001 2. 武汉数字工程研究所 武汉430074 |
| 摘 要： | 该文研究了常微分方程(d2u/dx2)+K(x)2n=0在(-1,1)上整体解的存在性,此问题源于H2上的预定保角高斯曲率问题,证明了一个存在定理,解释了其几何意义. |
| 关 键 词： | 常微分方程 积分方程 不动点定理 黎曼流形 |
An Existence Result of the Ordinary Equation (d2u/dx2) + K ( x ) e2n =0 |
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| Zhou Ruiyan,Wang Cui. An Existence Result of the Ordinary Equation (d2u/dx2) + K ( x ) e2n =0[J]. Computer and Digital Engineering, 2011, 39(12): 31-32,118 | |
| Authors: | Zhou Ruiyan Wang Cui |
| Affiliation: | 2)(Unit 92,No.91404 Troops of PLA1),Qinhuangdao 066001)(Wuhan Digital Engineering Institute2),Wuhan 430074) |
| Abstract: | Abstract In this paper, the author considered the existence problem of the equation d2u/dx2＋K（x）e2n=0on （-1,1）,which derives from the prescribed Gaussian curvature problem of the H2. The author proved an existence result and explained it in geometric language. |
| Keywords: | ordinary equation integral equation fixed-point theorem riemannian manifold |
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