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无穷区间上二阶奇异微分方程三点边值问题正解的存在性
引用本文:廉海荣,葛渭高.无穷区间上二阶奇异微分方程三点边值问题正解的存在性[J].数学学报,2008,51(6):1221-122.
作者姓名:廉海荣  葛渭高
作者单位:北京理工大学数学系
摘    要:讨论了一类无穷区间上二阶奇异微分方程三点边值问题正解的存在性和唯一性.通过应用对角延拓原理,不动点指标理论和不等式技巧,得到了该类边值问题正解存在性和唯一性的充分条件,允许非线性项有奇性.

关 键 词:多点边值问题  无穷区间  对角延拓原理
收稿时间:2006-5-26
修稿时间:2007-8-21

Positive Solutions for the Three-Point Boundary Value Problem of Second-Order Differential Equations on Infinite Intervals
Institution:Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China
Abstract:This paper discusses the existence of positive solutions for the three-point boundary value problem of second order differential equations on a half line. By using the diagonalization process, fixed points theory and inequality techniques, sufficient conditions are obtained to guarantee the existence and uniqueness of positive solutions. In this paper, the nonlinear term has singularities.
Keywords:multi-point boundary value problem  infinite interval  diagonalization pro-cess
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