具有对称结构的一类奇摄动边值问题渐近展开解

The Asymptotic Expansion Solution to a Kind of Singularly Perturbed Boundary Value Problem with Symmetrical Structure

研究一类二阶具有对称结构临界情况下拟线性方程组的奇摄动边值问题.将已知的初值的结果作为辅助问题,应用边界函数法构造一致有效的渐近展开解,并给出余项估计定理.

The singularly perturbed problem with boundary value was studied in the critical case to a kind of second-order quasi-linear equations with symmetrical structure.Treating the known result of initial problem as auxiliary,the boundary layer function method was used to construct its asymptotic expansion solution and to derive the theorem of remainder estimation.