Existence of Positive Solutions for Boundary Value Problems on the Semi-infinite Interval  

作　　者：NI Xiao-hong GE Wei-gao 

机构地区：[1]Department of Mathematics, Huzhou Teacher＇s College, Huzhou 313000, China

出　　处：《Chinese Quarterly Journal of Mathematics》2005年第4期380-384,共5页数学季刊（英文版）

基　　金：Supported by the Natural Scientific Fund of Zhejiang Province(Y604127);Supported by the Educational Scientific Fund of Zhejiang Province(20030594)

摘　　要：In this paper, the authors study the existence of positive solution of the following BVP {1/p（t）（P（t）x′）′＋f（t,x（t）,p（t）x′（t））=0,o〈t〈＋∞ αx（0）-βlimt→0p（t）x′（t）=0,γ limt→＋∞x（t）＋δlimt→＋∞p（t）x′（t）=0 on the semi-infinite interval. By considering characterization of the nonlinearity, they obtain some new existence results.

关 键 词：Sturm-Liouville boundary value problem positive solution fixed point 

分 类 号：O175.8[理学—数学]