一类四阶奇异边值问题的正解存在的充分必要条件  

A necessary and sufficient condition for the existence of positive solutions to a class of singular boundary value problems of fourth order differential equations

作　　者：庞常词[1] 韦忠礼[1] 

机构地区：[1]山东建筑工程学院数理系,山东济南250014

出　　处：《高校应用数学学报（A辑）》2003年第2期149-157,共9页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：山东省自然科学基金 (Y2 0 0 0 A0 6 )

摘　　要：利用上下解方法和极大值原理给出了一般边界条件下四阶微分方程的奇异边值问题有 C2 [0 ,1 ]和 C3[0 ,1 ]正解存在的充分必要条件 .推广了韦忠礼( 1 999)This paper studies the existence of positive solutions to singular boundary value problems of fourth order differential equations.A necessary and sufficient condition for the existence of C 2[0,1],as well as C 3[0,1],positive solutions is given by the method of lower and upper solutions,and by the maximum principle.

关 键 词：次线性 四阶奇异边值问题 正解 

分 类 号：O175.8[理学—数学]