一类四阶三点奇异边值问题正解存在的充分必要条件  

A Necessary and Sufficient Condition for theExistence of Positive Solutions for a Nonlinear Forth Order Three-point Boundary Walue Problem

作　　者：徐海燕[1] 刘伟[2] 

机构地区：[1]曲阜师范大学数学科学学院,山东曲阜273165 [2]临沂师范学院数学系,山东临沂276000

出　　处：《聊城大学学报（自然科学版）》2006年第4期21-23,34,共4页Journal of Liaocheng University:Natural Science Edition

摘　　要：利用锥拉伸压缩不动点定理得到四阶三点边值问题在非线形项同超线性,或一次线性一超线性情况下,有C2[0,1]和C3[0,1]正解的充分必要条件．The existence of positive solutions for singular fourth order three-point boundary value problem was investigated. A neceessary and sufficient condition for the existence of C^2 [0, 1], C^3 [-0,1] positive solutions is obtained under the condition that nonlinear item are all superlinear or one is superlinear, another is sublinear by constructing with fixed point theorem of cone expansion and compression.

关 键 词：三点奇异边值问题 正解 锥 

分 类 号：O175.8[理学—数学]