非线性奇异三阶三点边值问题单调正解的存在性  

Existence of Monotone Positive Solution on Nonlinear Singular Third-order Three-point Boundary Value Problem

作　　者：曹珂[1] 赵慧霞[2] 

机构地区：[1]甘肃联合大学师范学院,甘肃兰州730000 [2]甘肃联合大学学报编辑部,甘肃兰州730000

出　　处：《甘肃联合大学学报（自然科学版）》2011年第5期13-16,共4页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：运用单调迭代法研究一类非线性奇异三阶常微分方程三点边值问题,不仅获得其单调正解的存在性,还给出单调正解的两个迭代序列,并且迭代序列的初值是简单的零函数或一次函数.Using monotone iteration method,a class of nonlinear singular three-point boundary value problem of third-order ordinary differential equation was studied.The existence of monotone positive solution was obtained and two iterative sequences of positive solution were given.Moreover,the iterative scheme starts was zero function or linear function.

关 键 词：边值问题 单调正解 存在性 迭代法 

分 类 号：O17[理学—数学]