摘要
运用锥上的Avery-Henderson不动点定理证明了1类非线性变号2阶3点边值问题至少2个正解的存在性.并且给出了与之相对应的线性2阶3点边值问题的格林函数及格林函数的一些性质.
Abstract ： This paper investigates the existence of at least two positive solutions to the nonlinear second-order three-point boundary value problem with change of sign by the application of the well-known Avery-Henderson fixed-point theorem in cones. The Green＇s function and some of its properties of the linear second-order three-point boundary value problem related to the nonlinear boundary value problem are provided.
出处
《河南师范大学学报（自然科学版）》
CAS
北大核心
2013年第6期22-26,共5页
Journal of Henan Normal University(Natural Science Edition)
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)
关键词
变号
边值问题
格林函数
sign changing
boundary value problem
Green＇s
unction
positive solution
