二阶非线性奇摄动Robin问题角层解的渐近分析

Asymptotic Analysis of Second-Order Nonlinear Singularly Perturbed Robin Problem with Phenomena of Angular Layer

利用边界层函数法,构造了二阶非线性奇摄动Robin问题产生角层现象的渐近解。在适当的假设条件下,利用微分不等式方法证明了解的存在性,并得到了关于ε的任意阶一致有效的渐近估计。

Asymptotic solution is constructed on second-order nonlinear singularly perturbed Robin problem with phenomena of angular layer by the method of boundary functions.Under suitable conditions and by using the theory of differential inequalities to improve the existence of solution,and to obtain the uniform valid asymptotic estimate of the any number ofε.