半线性奇摄动边值问题的激波解(英文)

Shock solution for the semilinear singularly perturbed two points boundary value problem

研究了半线性奇摄动两点边值问题的激波解 ,在一定的条件下 ,利用微分不等式理论 ,讨论了问题解的存在性和渐近性态 ,得到问题解的一致有效渐近展开式 .

The shock solution for the semilinear singularly perturbed two points problem is considered. Under suitable conditions and using the theory of differential inequalities the existence and asymptotic behavior of the solution for the original boundary value problems are studied.The uniformly effective asymptotic expansion is obtained.