具有非线性边界条件的奇摄动微分系统边值问题

摘要

研究了一类具有非线性边界条件的奇摄动半线性微分系统边值问题．利用边界层校正法构造了形式渐近解．并且在适当的假设下，用微分不等式理论，证明了解的存在性及其一致有效性．%A class of boundary problem with nonlinear boundary conditions for semilinear system is considered. By using the boundary layer correction method, the formal asymptotic solution is constructed. And under suitable conditions, using the theory of differential inequalities the existence and uniform validity are proved.