伴有边界摄动非线性积分微分方程系统的奇摄动

Singular Perturbation for System of Nonlinear Integral Differential Equations with Boundary Perturbation

研究伴有边界摄动的二阶非线性积分微分方程组的奇摄动问题.在适当的条件下,利用对角化技巧证明了解的存在性,并构造了解的渐近展开式,给出了余项的一致有效估计.

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.