一类具二维核共振条件三阶多点边值问题解的存在性  

Existence of Solution for a Third Order Multi-point Boundary Value Problems with Two Dimension Kernal at Resonance

作　　者：刘广军[1] 任立顺[1] 赵志良[1] 

机构地区：[1]周口师范学院数学系,河南周口466001

出　　处：《大学数学》2010年第5期42-49,共8页College Mathematics

基　　金：河南省教育厅自然科学基金资助项目(2010A110023)

摘　　要：利用Mawin的重合度定理建立了一类三阶多点边值问题边值条件解的存在性.同时给出一个例子以说明该存在性结果的可用性.A multi-point boundary value problems for a third order nonlinear deferential equation are considered.With the help of coincidence theorem due to Mawhin,an existence theorem is obtained.Also an example is given to illustrate existence result.

关 键 词：共振 边值问题 重合度定理 FREDHOLM算子 

分 类 号：O175.8[理学—数学]