POSITIVE SOLUTION TO SECOND-ORDER FOUR-POINT BOUNDARY VALUE PROBLEM WITH SIGN CHANGING NONLINEARITY  

作　　者：Yang Liu, Shen Chunfang (Dept. of Math., Hefei Teachers College, Hefei 236032) Liu Xiping (College of Science, University of Shanghai for Science and Technology, Shanghai 200093) 

出　　处：《Annals of Differential Equations》2008年第4期470-476,共7页微分方程年刊（英文版）

基　　金：sponsored by the Natural Science Foundation of Anhui Educational Department (Kj2007b055);Youth Project Foundation of Anhui Educational Department (2007jqL101;2007jqL102)

摘　　要：This paper considers the positive solution to a class of second-order four-point boundary value problem, in which the first order derivative is involved in the nonlinear term explicitly. By the fixed point theorem in cone, sufficient conditions ensuring the existence of positive solution to the problem are obtained. An example is given to illustrate the feasibility of the main results.This paper considers the positive solution to a class of second-order four-point boundary value problem, in which the first order derivative is involved in the nonlinear term explicitly. By the fixed point theorem in cone, sufficient conditions ensuring the existence of positive solution to the problem are obtained. An example is given to illustrate the feasibility of the main results.

关 键 词：four point boundary value problem positive solution CONE fixed point 

分 类 号：O175[理学—数学]