含多个Volterra型积分算子的积分微分方程奇摄动边值问题

The Singularly Perturbed Boundary Value Problem for Integro-Differential Equations with Some Volterra Type of Integral Operators

本文给出了一类含多个Voterra型积分算子的积分微分方程奇摄动边值问题解的存在性证明及近似估计,并应用于高阶奇摄动边值问题。

In thispaper we discuss singularly perturbed boundary value problem for integro-differential equations with integral operators of some Volterra type, prove existence of solution and asymptotic estimate of it, and give the application to singularly perturbed boundary value problem of high order.