loading page

The Step-type Contrast Structure for A Second Order Semi-linear Singularly Perturbed Differential-difference Equation
  • Mei Xu,
  • Honghui Yin
Mei Xu
Huaiyin Normal University
Author Profile
Honghui Yin
Huaiyin Normal University
Author Profile


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.

Peer review status:Published

Dec 2020Published in Advances in Difference Equations volume 2020 issue 1. 10.1186/s13662-020-02962-w