福建师范大学学报（自然科学版）2011，Vol.27Issue(4)：14-19,6.
具有无穷大边界值的半线性奇摄动Neumann边值问题
Neumann Problem with Infinite Boundary Values for Singularly Perturbed Semi-linear Differential Equations
摘要
Abstract
By combining the method of differential inequality with the idea of boundary layer correction, the existence and asymptotic approximation of solution of Neumann problems with infinite boundary values for semi-linear singularly perturbed differential equations is obtained. The error estimate between the asymptotic and the exact solutions are also obtained. Two typical examples are performed to verify the correctness and uniform validity of the asymptotic solution obtained by boundary correction.关键词
Neumann问题/无穷大边界值/边界层校正/微分不等式Key words
Neumann problem/ infinite boundary value/ boundary layer correction/ differential inequality分类
数理科学引用本文复制引用
胡永生,沈建和,周哲彦..具有无穷大边界值的半线性奇摄动Neumann边值问题[J].福建师范大学学报（自然科学版）,2011,27(4):14-19,6.基金项目
福建省自然科学基金资助项目(S0650010) （S0650010）
福建省科技厅资助项目(2005K028) （2005K028）
