Asymptotic expansion of the solution for singularly perturbed boundary value problem with boundary jumps

[摘要] In this paper, we consider the two-point integral boundary value problem with boundary jumps for third order linear integro-differential equation with the small parameter at two highest derivatives. The asymptotic expansion of the solution of integral BVP with any degree of accuracy with respect to a small parameter was constructed. Justification of the asymptotic is provided.

[学科分类] 数学（综合）

[关键词] singular perturbation;small parameter;boundary jump;asymptotic