The step-type contrast structure for a second order semi-linear singularly perturbed differential-difference equation

Advances in Difference Equations

article

Xu, Mei¹  Wang, Bingxian¹ 

[1] School of Mathematics Science, Huaiyin Normal University

关键词: Singularly perturbed;    Differential-difference equation;    Contrast structure;    Asymptotic expansion;    Boundary function;   

DOI  :  10.1186/s13662-020-02962-w

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

The step-type contrast structure for a second order semi-linear singularly perturbed differential-difference equation is studied. Using the methods of boundary function and fractional steps, we construct the formula asymptotic expansion of the problem. At the same time, based on sewing techniques, the existence of the step-type contrast structure solution and the uniform validity of the asymptotic expansion are proved.

【 授权许可】

CC BY