文章基本信息

标题：The step-type contrast structure for a second order semi-linear singularly perturbed differential-difference equation
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作者：Mei Xu ; Bingxian Wang
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1
DOI：10.1186/s13662-020-02962-w
出版社：Hindawi Publishing Corporation
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.
关键词：34K26 ; 34E10