奇摄动三阶非线性边值问题  

On Problems of Third Order Nonlinear Boundary Value of Singular Perturbation

作　　者：吴钦宽[1] 

机构地区：[1]南京工程学院基础部,江苏南京211167

出　　处：《南京工程学院学报（自然科学版）》2008年第1期1-7,共7页Journal of Nanjing Institute of Technology(Natural Science Edition)

基　　金：江苏省省属高校自然科学基础研究项目(07KJD110077)

摘　　要：以变换未知函数的方式研究一类奇摄动三阶非线性微分方程边值问题,在适当条件下,构造出问题的上下解.然后,运用微分不等式理论,得出解的存在性和渐近估计.This paper aims to examine a class of the problems of third order nonlinear boundary value of singular perturbation by way of transforming unknown function. Upper and lower solutions were worked out under appropriate circumstances. Then the existence and asymptotic estimates of solutions were obtained by utilizing the theory of differential inequalities.

关 键 词：奇摄动 三阶微分方程 非线性边值问题 解的渐近估计 

分 类 号：O175.8[理学—数学]