一类三点边值问题两个单调递增正解的存在性  

Existence of Double Monotone Increasing Positive Solutions for Three-Point Boundary Value Problems

作　　者：梁月亮[1] 续晓欣[1] 

机构地区：[1]中北大学理学院数学系

出　　处：《河南师范大学学报（自然科学版）》2010年第5期31-33,共3页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10271090);山西省自然科学基金(2010021001-2);中北大学校青年基金

摘　　要：考察了一类非线性三点边值问题,运用锥拉伸与锥压缩型的Krasnosel′skii不动点定理及格林函数的性质,获得了其两个单调递增正解存在性的充分条件,推广和改进了以前文献的相关结果.In this paper,a class of nonlinear three-point boundary value problems is considered,and the existence of double monotone increasing positive solutions is obtained by making use of the Krasnosel＇skii fixed point theorem of cone expansion-compressions type and the properties of Green function,the results generalize and improve the known ones.

关 键 词：三点边值问题 正解 不动点定理 

分 类 号：O175.8[理学—数学]