The step-type contrast structure for a second order semi-linear singularly perturbed differential-difference equation-Reference-Cited by-同舟云学术

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

Published:2020-10-07 Issue:1 Volume:2020 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Xu Mei,Wang Bingxian

Abstract

AbstractThe 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.

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13662-020-02962-w.pdf

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