A Class of Singularly Perturbed Boundary Value Problems Arising from Catalytic Reactions

A class of singularly perturbed boundary value problems arising from the catalytic reactions in chemical engineering is observed. That kind of p roblems exhibits the behavior of nonexponentially decayed boundary layer, and he nce the study of asymptotic behavior of their solutions seems more diffcult. The uniformly valid asymptotic expansions of solutions as well as their derivatives are given via the upper and lower solutions method, and those estimates seem qu ite accurate.

二阶向量椭圆型方程边值问题的内层现象

本文利用偏微分不等式理论，我们将研究奇摄动二阶向量椭圆型方程边值问题，并获得所述问题的内层现象的解的存在性及其渐近估计式。

Volterra型积分微分方程非线性边值问题

本文首先利用上、下解方法研究了一类Ｖｏｌｔｅｒｔａ型积分微分方程Ｄｉｒｉｃｈｌｅｔ问题和非线性边值问题的解的存在性；然后，利用所得到的微分不等式理论考虑一类相应的奇摄动非线性边值问题，获得包括边界层在内的一致有效渐近解的存在性。