临界情况下一类二阶拟线性方程组边值问题的奇摄动

The Singular Perturbation Problem of a Kind of Two-order Quasi-linear Equations with Boundary Value in the Critical Case

讨论了一类二阶拟线性方程组在临界情况下奇摄动边值问题,利用边界函数法构造了其一致有效的渐近展开解,并给出了问题解的存在唯一性定理.

The singular perturbation problem of a kind of two-order quasi-linear equations with boundary value in the critical case is discussed.Using the boundary function method,its asymptotic expansion solution is obtained,and the theorem of uniqueness is given here.