广西科学2011，Vol.18Issue(2)：117-121,5.
一类四阶奇异边值问题的正解
Positive Solutions of a Singular Fourth Order Boundary Value Problem *
摘要
Abstract
A boundary value problem for the beam equation u(4) (t) +g(t)F(t, u (t) ) ＝0,0 ＜ t ＜1, toget her with boundary conditions u(0) = u’(0) = u′(1) ＝ u" (0)=0, is considered, where F(t,u) may be singular at u=0,g(t) may be singular at both ends t =0 and t = 1. By using a Green function of third order two point boundary value problems and Krasnosel’skii fixed point theorem, some sufficient conditions for the existence of at least one positive solution for the boundary value problem are established. An example also is given to illustrate the main results.关键词
奇异边值问题/Krasnosel'skii/不动点原理/正解Key words
singular boundary value problem/ Krasnosel’skii fixed point theorem/ positive solution分类
数理科学引用本文复制引用
刘爱民,刘永建,冯春华..一类四阶奇异边值问题的正解[J].广西科学,2011,18(2):117-121,5.基金项目
National Natural Science Foundation of China(No.10961005),the Sustentation Fund of the Elitists for Yulin Normal University(No.G2010006)and the Scientific Research Foundation of Guangxi Edueation Office of China(No.200911LX356). （No.10961005）
