1类非线性变号2阶3点边值问题正解的存在性  

The Existence of Positive Solutions for a Class of Nonlinear Second-order Three-point Boundary Value Problem with Change of Sign

作　　者：魏嘉[1] 王静[1] 

机构地区：[1]甘肃联合大学师范学院,兰州730000

出　　处：《河南师范大学学报（自然科学版）》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)

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.

关 键 词：变号 边值问题 格林函数 

分 类 号：O175[理学—数学]