一类奇异二阶边值问题正解存在的充分必要条件  

Necessary and Sufficient Condition for the Existence of Positive Solution to a Class of Singular Second-order Boundary Value Problems

作　　者：杨凤华[1] 

机构地区：[1]曲阜师范大学数学科学学院,曲阜273165

出　　处：《工程数学学报》2008年第2期281-287,共7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(Y2006A04).

摘　　要：本文利用锥拉伸与压缩不动点定理,在非线性项为超线性或次线性及非线性项可分解为超线性与次线性的情况下,给出一类二阶边值问题有一阶可导正解的充分必要条件,推广并改进了一些已知的结果。In this paper, by using the tensile and the compression fixed-point theorems in cone, the first order derivative positive solutions to a class of second-order boundary value problems is investigated. A necessary and sufficient condition for the existence of the first order derivative positive solutions is obtained under the condition that nonlinear term is super-linear or sub-linear, or nonlinear term decomposed into super-linear and sub-linear, which improve some known results.

关 键 词：奇异边值问题 正解 充分必要条件 超线性 

分 类 号：O175.8[理学—数学]