奇异三点边值问题的正解  

Positive Solutions of Singular Three-Point Boundary Value Problems

作　　者：袁邢华[1] 蒋巧云[1] 

机构地区：[1]南通大学理学院,江苏南通226007

出　　处：《南通大学学报（自然科学版）》2014年第2期91-94,共4页Journal of Nantong University(Natural Science Edition)　

基　　金：南通大学自然科学基金项目(12Z028)

摘　　要：应用不动点指数方法,在与相应线性算子第一特征值有关的条件下,得到一类奇异三点边值问题正解的存在性结果.在超线性和次线性问题中,这类条件比其他形式的条件更优,所得结果推广和改进了已有文献中的主要结果.The existence of positive solutions for a class of second-order three-point boundary value problem was ob-tained by applying the fixed point index theory under some conditions concerning the eigenvalues of relevant linear operator. When compared with other conditions in superlinear and sublinear problems , this conditions are almost the best. so results in this paper extend and improve the main results in early references.

关 键 词：边值问题 不动点指数 正解 存在性 

分 类 号：O175.15[理学—数学]