一类时间测度链上二阶边值问题对称正解的存在性  

The Existence for Certain Symmetric Positive Solutions of Second-order Boundary Value Problems on Time Scales

作　　者：王静 杨旭升 WANG Jing;YANG Xusheng(School of Education,Lanzhou University of Arts and Science,Lanzhou 730000,China)

机构地区：[1]兰州文理学院教育学院,甘肃兰州730000

出　　处：《新乡学院学报》2020年第9期9-11,15,共4页Journal of Xinxiang University

基　　金：甘肃省高等学校创新能力提升项目(2019A-158,2020B-255)。

摘　　要：运用单调迭代法研究了时间测度链上一类带有积分条件的二阶非线性微分方程三点边值问题正解的存在性,导出了与之相应的线性三点边值问题解的一些性质。The existence of positive solutions for certain three-point boundary value problems of second-order nonlinear differential equations with integral conditions on time scales was studied by monotone iteration method.Some properties of the corresponding solutions to linear three-point boundary value problems are derived.

关 键 词：时间测度链 二阶边值问题 对称解 存在性 

分 类 号：O175[理学—数学]