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次线性奇异三点边值问题的正解
引用本文:韦忠礼. 次线性奇异三点边值问题的正解[J]. 数学物理学报(A辑), 2008, 28(1): 174-182
作者姓名:韦忠礼
作者单位:山东建筑大学理学院,山东250101
摘    要:该文主要研究二阶次线性奇异三点边值问题的正解的存在性,利用上下解方法和比较定理给出了C[0,1] 和 C1[0,1]$ 正解存在的充分必要条件,其中的非线性项 f(t,x) 可以在 x=0, t=0 和 t=1 处奇异.

关 键 词:奇异三点边值问题  正解  上下解  比较定理
文章编号:1003-3998(2008)01-174-09
收稿时间:2005-01-19
修稿时间:2006-07-05

Positive Solutions of Some Singular Sub-linear Three-point Boundary Value Problems
Wei Zhongli. Positive Solutions of Some Singular Sub-linear Three-point Boundary Value Problems[J]. Acta Mathematica Scientia, 2008, 28(1): 174-182
Authors:Wei Zhongli
Affiliation:School of Sciencs, Shandong Jianzhu University, Shandong 250101
Abstract:This paper investigates the existence of positive solutions for second-order singular sub-linear three-point boundary value problems. A necessary and sufficient condition for the existence of C [0,1] as well as C1[0,1] positive solutions is given by constructing lower and upper solutions and with the comparison theorem. The nonlinearity f(t,x) may be singular at , t=0 and /or t=1 .
Keywords:Singular three-point boundary value problem   Positive solution   Lower and upper solutions   Comparison theorem.
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