二阶三点边值问题的对称正解  

Symmetric positive solutions for the second-order three-point boundary value problems

作　　者：赵如慧 韩晓玲 ZHAO Ruhui;HAN Xiaoling(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《浙江大学学报（理学版）》2018年第5期540-544,共5页Journal of Zhejiang University（Science Edition）

基　　金：国家自然科学基金资助项目(11561063)

摘　　要：运用迭代法研究了二阶三点边值问题:{u″(t)+q(t)f(t,u(t),u′(t))=0,t∈(0,1),u(t)=u(1-t),u′(0)-u′(1)=u(1/2)对称正解的存在性,其中f:[0,1]×[0,+∞)×R→[0,+∞)连续;q(t)≥0,t∈(0,1).In this paper,we investigate the existence of symmetric positive solutions for the following second-order three-point boundary value problems:u″(t)+q(t)f(t,u(t),u′(t))=0,t∈(0,1)u(t)=u(1-t),u′(0)-u′(1)=u 1 2,where f:[0,1]×[0,+∞)×R→[0,+∞)is continuous;q(t)≥0,t∈(0,1).

关 键 词：二阶三点边值问题 对称正解 单调迭代 

分 类 号：O175.8[理学—数学]