The impulsive solution for a semi-linear singularly perturbed differential-difference equation

Acta Mathematicae Applicatae Sinica, English Series - Tập 32 - Trang 333-342 - 2016
Ai-feng Wang1, Mei Xu1, Ming-kang Ni2
1School of Mathematical Science, Huaiyin Normal University, Huaian, China
2Department of Mathematics, East China Normal University, Shanghai, China

Tóm tắt

The impulsive solution for a 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 smooth impulsive solution and the uniform validity of the asymptotic expansion are proved.

Tài liệu tham khảo

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