福建师范大学学报（自然科学版）2011，Vol.27Issue(4)：7-13,7.
具有无穷大边界值的二阶拟线性奇摄动Robin问题的双边界层
Doubled Boundary Layers of Robin Problems with Infinite Boundary Values for Singularly Perturbed Quasi-linear Differential Equations
摘要
Abstract
Doubled boundary layers phenomenon of Robin problems with infinite boundary values for second-order singularly perturbed quasi-linear differential equations is studied. Based on the technique of boundary layer correction, the boundary layer functions (including the exponential and algebraic types) at the ended points are constructed and hence the asymptotic approximation of solutions is obtained. Differential inequality is then applied to derive the existence of solution and the error estimate between the asymptotic and the exact solutions. An example is performed to verify the correctness of the obtained results.关键词
Robin问题/无穷大边界值/双边界层/边界层校正/微分不等式Key words
Robin problem/ infinite boundary value/ boundarylayer correction/ quasi-linear/ differential inequality分类
数理科学引用本文复制引用
周哲彦,沈建和..具有无穷大边界值的二阶拟线性奇摄动Robin问题的双边界层[J].福建师范大学学报（自然科学版）,2011,27(4):7-13,7.基金项目
福建省自然科学基金资助项目(2006J0204) （2006J0204）
福建省教育厅资助项目(JA10065) （JA10065）
