一类非线性三阶三点边值问题正解的存在性  

Existence of positive solution for a class of nonlinear third-order three-point boundary value problems

作　　者：孙建平[1] 曹珂[1,2] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050 [2]甘肃联合大学师范学院,甘肃兰州730010

出　　处：《兰州理工大学学报》2010年第2期123-124,共2页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(10801068)

摘　　要：运用单调迭代法研究一类非线性三阶常微分方程三点边值问题,不仅获得其正解的存在性,还给出正解的两个迭代序列,并且迭代序列的初值是零函数或一次函数.A class of nonlinear three-point boundary value problem of third-order ordinary differential equation was studied by using monotonic iteration method.Not only the existence of positive solution was obtained but two iterative sequences of positive solution were also given.Moreover,the initial value of the iterative sequences was zero function or linear function.

关 键 词：边值问题 正解 存在性 单调迭代法 

分 类 号：O175[理学—数学]