一类具有局部弱稳定退化解的奇摄动Robin问题  

A class of singular perturbation Robin problems with locally weak stable reduced solutions

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：《应用数学与计算数学学报》2014年第3期366-378,共13页Communication on Applied Mathematics and Computation

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：研究一类一般的二阶非线性方程的奇摄动Robin问题的边界层现象.在退化解是局部弱稳定的主要假设下,利用界定函数法和微分不等式理论证明了呈边界层性态的解的存在性,并给出解的渐近估计.Boundary layer phenomena for some singularly perturbed Robin prob- lems of second-order nonlinear equations are considered. Under the principal assumption that a reduced solution is locally weak stable, the existence of solution which exhibits the boundary layer behavior is proved, and the asymptotic estimation of solution is given using the method of bounding functions and 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 

分 类 号：O175[理学—数学]