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

Miskolc Mathematical Notes

article

Mirzakulova Aziza Erkomekovna¹  Dauylbayev Muratkhan Kudaibergenovich¹ 

[1] Al-Farabi Kazakh National University, Department of Mechanics and Mathematics;Institute of Mathematics and Mathematical Modeling;Institute of Computing and Information Technologies

关键词: singular perturbation;    small parameter;    boundary jump;    asymptotic;   

DOI  :  10.18514/MMN.2023.3362

学科分类：数学（综合）

来源: Miskolci Egyetem

【 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.

【 授权许可】

CC BY