一类非线性条件稳定奇摄动系统的Dirichlet问题

Conditionally Stable Dirichlet Problem for Nonlinear Singulary Perturbed Systems

用边界函数法讨论了一类非线性条件稳定的具有Dirichlet边界条件的奇摄动系统,构造了它的形式渐近解,并证明了该形式渐近解的一致有效性.解的存在唯一性也得到了证明.

Using the boundary function method, this paper studied a conditionally stable Dirichlet problem for a kind of nonlinear perturbed systems.The asymptotic solution of the problem was given and proved to be uniformly effective. And the existence and uniqueness of the solution for the systems were proved.