We study the asymptotic behavior of the solutions of a boundary-value problem with boundary jumps for linear integrodifferential equations of the third order with small parameters at the two higher derivatives. The asymptotic convergence of the solution of a singularly perturbed integrodifferential boundary-value problem to the solution of the corresponding modified degenerate boundary-value problem is proved.

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奇异摄动积分微分方程边值问题解的渐近行为

我们研究了具有边界跳跃的边界值问题的解的渐近行为，用于在两个较高导数处具有小参数的三阶线性积分微分方程。证明了奇异摄动积分微分边值问题的解对相应的修正退化边值问题的解的渐近收敛性。