Asymptotic of the three-point boundary-value problem solution for integrodifferential equations with small parameter.

Abstract

In the given work the three-point boundaryvalue problem for singularly perturbed integro-differential equations of the third order is studied. An algorithm for constructing uniform with respect to t ∈ [0; 1], the asymptotic approximation of the solution y(t;ε) of the problem with any degree of accuracy in a small parameter.