两参数Volterra型积分微分方程边值问题的奇摄动

Singular Perturbed of Boundary Value Problems for Two Parameter Volterra Type of Integral Differential Equations

本文应用边界层校正法以及微分不等式理论研究一类含两个小参数的Volterra型积分微分方程的边值问题.证明了摄动问题解的存在性,并构造出其解的一致有效渐近展开式.

In this paper, the method of boundary layer corrections and the differential inequality theory are developed to study the two -parameter boundary value problems for a class of Voltcrra type of integral diffcrcngial equations. Under appropriate as-sumptions the existence of solutions is proved and the uniformly valid asymptotic expansins of the solutions arc construtcd.