一个常微分方程整体解的存在性结果
An existence result of an ordinary differential equation
摘要
研究常微分方程(d^2u)/(dx^2)+K(x)e^(2u)=0在(-∞,+∞)上整体解的存在性问题.此方程是熟知的在R^2上预定高斯曲率方程的一个特例.本文证明了一个存在性定理.
This paper studies the existence problem of the ordinary differential equation d^2u/dx^2＋K（x）e^2u=0 on R. This equation is a special case of the so called prescribing Gaussian curvature problem on R^2. An existence result is proved.
出处
《纯粹数学与应用数学》
CSCD
北大核心
2008年第2期220-223,共4页
Pure and Applied Mathematics
基金
国家教委留学回国科研启动基金项目
关键词
常微分方程
积分方程
不动点定理
黎曼流形
ordinary differential equation, integral equation, fixed point theorem, Riemannian manifold
参考文献6
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