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,得出解的存在性和渐近估计。
A class of singularly perturbed nonlinear boundary value problem for third - order nonlinear differential equation is studied by means of unknown function transformation ,the upper and lower solutions were constructed ,and existence and asymptotic estimates of solution under suitable conditions were obtained.
出处
《南昌大学学报（理科版）》
CAS
北大核心
2006年第5期426-429,共4页
Journal of Nanchang University(Natural Science)
基金
南京工程学院基金资助项目(KXJ04093)
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
singular perturbation
third order differential equation
nonlinear boundary value problem
asymptotic estimation of solution
