Banach空间中n阶m点边值问题的正解  

POSITIVE SOLUTIONS FOR nTH-ORDER m-POINT BOUNDARY VALUE PROBLEM IN A BANACH SPACE

作　　者：蔡静静[1] 刘立山[1] 孙倩[1] 

机构地区：[1]曲阜师范大学数学科学学院,曲阜273165

出　　处：《系统科学与数学》2010年第4期476-485,共10页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10771117);曲阜师范大学博士科研启动经费(Bsqd2007040)资助项目

摘　　要：通过构造一个特殊的锥,证明了Banach空间中一类n阶m点边值问题的正解的存在性,最后给出一个例子来说明主要结果.By constructing a special cone and using the cone expasion and compression fixed point theorem of norm type, the existence of positive solutions is proved for a class of nth-order m-point boundary value problem in a Banach space. Finally, an example is given to demostrate the main results of this paper.

关 键 词：n阶m点边值问题 正解 BANACH空间 不动点定理 

分 类 号：O175.8[理学—数学]