一类二阶三点边值问题对称解的存在性  

Symmetric Solutions of Second Order Three Point Boundary Value Problems

作　　者：宋姝[1,2] 

机构地区：[1]山西工程职业技术学院基础部,山西太原030009 [2]太原理工大学理学院,山西太原030024

出　　处：《太原理工大学学报》2009年第3期326-328,共3页Journal of Taiyuan University of Technology

基　　金：山西省自然科学基金资助项目(2007011012)

摘　　要：讨论了一类二阶三点边值问题。当非线性项满足适当的条件时,通过计算得到所讨论问题的Green函数及其性质,根据锥上的不动点指数理论及相关线性算子的特征值,得到了这类边值问题对称解及二重对称解存在的充分条件,推广了相关文献的结论。The existence of symmetric positive solutions of second order three-point boundary value problem was discussed. On the basis of the Green＇s function of the discussed problem and its related property, we obtained the existence criteria for double symmetric positive solutions by applying fixed point index in cone which involves the principal eigenvalue of a related linear operator. The results of the literature were extended.

关 键 词：不动点指数 三点边值问题 对称解 

分 类 号：O715.15[理学—晶体学]