一类二阶非线性方程的奇摄动问题的研究  

Research on the singularly perturbed problems for a class of the second-order nonlinear equations

作　　者：秦赵娜[1] 姚静荪[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241003

出　　处：《安徽工程大学学报》2013年第3期77-80,共4页Journal of Anhui Polytechnic University

基　　金：国家自然科学基金资助项目(11201004);安徽高校省级自然科学基金资助项目(KJ2011A135)

摘　　要：本文研究了一类具有局部弱稳定退化解的二阶非线性方程的奇摄动问题的边界层现象.运用界定函数法找到具体的上下解,再通过微分不等式理论证明了解的存在性,并给出了解的渐近估计.This paper studies, boundary layer phenomena of the singularly perturbed problems for a class of the second-order nonlinear equations with the reduced solutions of local weak stability. The upper and lower solutions are found by the bounding functions, and the existence of solutions is proved and the asymptotic estimation of solutions is given by applying the theory of differential inequality.

关 键 词：奇摄动 非线性方程 局部弱稳定 微分不等式理论 

分 类 号：O175.14[理学—数学]