时间测度链上三点边值问题对称正解的存在性  

The existence of symmetric positive solution for triple-point boundary value problem on time scales

作　　者：王静[1] 

机构地区：[1]兰州文理学院数学系,甘肃兰州730000

出　　处：《湖南文理学院学报（自然科学版）》2013年第3期6-9,24,共5页Journal of Hunan University of Arts and Science(Science and Technology)

基　　金：甘肃省自然科学基金项目(3ZS042-B26-021);甘肃省教育厅科研项目(1013B-03)

摘　　要：利用锥上的压缩与拉伸不动点定理研究了测度链上一类二阶动力方程三点边值问题至少一个对称正解的存在性.并且给出了与之相关联的线性动力方程三点边值问题的格林函数及格林函数的一些性质.By the fixed point theorems of cone expansion and compression, the existence of at least one positive solution of triple-point boundary value problem for second order dynamic equation on time scales was investigated. The Green＇s function and some of its properties of the linear three-point dynamic equation boundary value problem related to the nonlinear boundary value problem were put foeward.

关 键 词：时间测度链 边值问题 不动点定理 锥 对称正解 

分 类 号：O175[理学—数学]