一类三阶二点半正边值问题的正解及其应用  

The Existence of Positive Solution to a Class of Third-order Two-point Semipositone Boundary Value Problems and Applications

作　　者：苏华[1] 王保合[2] 

机构地区：[1]山东大学数学与系统科学学院,济南250100 [2]山东行政学院,济南250014

出　　处：《工程数学学报》2006年第5期927-930,共4页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10471075);山东省自然科学基金(Y2003A01)

摘　　要：本文利用锥上的不动点定理,不要求非线性项f(t,u)连续且下方有界,在f满足Carathéodory条件下,证明了一类三阶二点半正边值问题正解的存在性。By using the fixed point theory in cones, we obtained the existence of positive solutios for the third-order two-point semipositive boundary value problems in which nonlinearity f（t, u） does not have to be continuous and lower bounded but only have to meet Carathéodory＇s conditions.

关 键 词：三阶二点半正 正解:不动点 Carathéodory条件 

分 类 号：O175.8[理学—数学]