拟线性系统Robin问题的奇摄动

本文首先利用上、下解考虑非线性系统Robin问题的解的存在性,然后,应用所得的结果,在适当的假设下,我们得到拟线性弱藕合系统Robin问题的包括边界层的解的任意阶渐近近似。

Singular Perturbation of Robin Problem for a Quasilinear System

In this paper, first, using supcr and lower solutions we considcr the cxisicncc of the sclulicn for Robin problom of rcnlirear system, then cmploying this result, under the appropriate assumptions, we derive arbitrary order asymptotic approximation of the solution, involving, boundary layer, of Robin problem of the quasilinear weakly coupled system.