Banach空间二阶n点边值问题3正解的存在性  

The Existence of Three Positive Solutions for Second-order Multi-point Boundary Value Problems in Banach Spaces

作　　者：梁童[1] 张兵[1] 

机构地区：[1]黄河水利职业技术学院,河南开封475003

出　　处：《郑州大学学报（理学版）》2009年第4期11-15,20,共6页Journal of Zhengzhou University:Natural Science Edition

摘　　要：利用严格集压缩映象的不动点定理讨论紧型条件下的Banach空间n点边值问题.首先将3不动点定理推广到严格集压缩映像上,而后构造泛函,利用前面证得的不动点定理证明Banach空间二阶n点边值问题3正解的存在性.最后给出例子说明结论的可行性.By using fixed point theorems of strict set contraction mapping,the boundary value problems for compact type conditions in Banach spaces are discussed.First,a fixed point theorem is extended to strict set contraction mapping.And then the suitable functionals are constructed to prove the existence of three positive solutions for second-order n-point boundary value problem in Banach spaces by using the fixed point theorem proved above.At last,an example is given to demonstrate the availablity of the result.

关 键 词：BANACH空间 正解 严格集压缩映象 不动点 N点边值问题 

分 类 号：O175.15[理学—数学]