关键词: 奇摄动, 积分微分方程组, 边界摄动

Abstract:

The singular perturbation  for the system of nonlinear integral differential equations with boundary perturbation was discussed. Under the suitable conditions, the existence of the solution was proved by the technique of diagonalization and the asymptotic expansion of the solution was constructed and its uniformly valid estimation of remainder term was given as well.

Key words: singular perturbation, system of integral differential equation, boundary perturbation