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一类四阶次线性奇异边值问题的正解
李秀珍¹,赵增勤²
(1.山东建筑大学理学院，山东济南250101;2.曲阜师范大学数学科学学院，山东曲牟273165)

摘要:

利用锥上的不动点定理给出一类四阶次线性奇异微分方程边值问题C2[0，1 ]和C3 [0,1 ]正解存在的充分必要条件及正解的唯一性。这个结果可用于判断给定的边值问题正解的存在性和唯一性。

关键词: 次线性奇异边值问题正解不动点定理

DOI：

分类号:

基金项目:

Positive solutions for a class of fourth order singular sublinear boundary value problems

LI Xiu-zhen¹,ZHAO Zeng-qin²

(1. School of Science, Shandong Jiartzhu University，Jinan 250101, China;2. School of Mathematics Science, Qufu Normal University, Qufu 273165，China)

Abstract:

A necessary and sufficient condition as well as uniqueness for the existence of C2 [ 0,1 ] and C3 [ 0,1 ] positive solutions of sublinear singular boundary value problem of fourth order ordinary differential equation was given by means of the fixed point theorems on cones. The results can be used to judge the existence and the uniqueness of positive solutions for given boundary value problems.

Key words: singular sublinear boundary value problem positive solution fixed point theorem