具有无穷边界值的二次非线性奇摄动边值问题的双边界层  

Double boundary layers of quadratic nonlinear singularly perturbed boundary value problem with infinite boundary values

作　　者：韩建邦[1] 沈启霞[1] 

机构地区：[1]郑州科技学院基础部,河南郑州450064

出　　处：《高校应用数学学报（A辑）》2016年第3期316-326,共11页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：河南省科技厅基础与前沿技术研究计划(132300410360)

摘　　要：研究了具有无穷边界值的二次非线性奇摄动边值问题的双边界层,利用边界层校正函数,构造其渐近解,并利用微分不等式理论,给出了一致有效渐近估计.最后给出算例验证了相关结论的正确性.Double boundary layers of quadratic nonlinear singularly perturbed boundary value problem with infinite boundary values is studied. Using the boundary layer correction function, its asymptotic solution is constructed, and using the theory of differential inequality, the uniformly valid asymptotic estimation is presented. Finally, an example is given to verify the validity of the relevant conclusions.

关 键 词：无穷大边界值 双边界层 边界层校正 微分不等式 

分 类 号：O175.14[理学—数学]