INTERNAL LAYERS FOR A QUASI–LINEAR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATION

Tao Feng; Ming-kang Ni

doi:10.11948/20190337

2020 Volume 10 Issue 4

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Tao Feng, Ming-kang Ni. INTERNAL LAYERS FOR A QUASI–LINEAR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATION[J]. Journal of Applied Analysis & Computation, 2020, 10(4): 1666-1682. doi: 10.11948/20190337

Citation:

Tao Feng, Ming-kang Ni. INTERNAL LAYERS FOR A QUASI–LINEAR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATION[J]. Journal of Applied Analysis & Computation, 2020, 10(4): 1666-1682. doi: 10.11948/20190337

INTERNAL LAYERS FOR A QUASI–LINEAR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATION

Tao Feng¹,
Ming-kang Ni^1, ,

1.
School of Mathematical Sciences, East China Normal University, Shanghai, China

Corresponding author: Email address: xiaovikdo@163.com (M. Ni)
Fund Project: The authors were supported by National Natural Science Foundation of China (11871217), supported in part by Science and Technology Commission of Shanghai Municipality (No. 18dz2271000)

Abstract

Abstract

The current paper is mainly concerned with the internal layers for a quasi–linear singularly perturbed differential equation with time delays. By using the method of boundary layer functions and the theory of contrast structures, the existence of a uniformly valid smooth solution is proved, and the asymptotic expansion is constructed. As an application, a concrete example is presented to demonstrate the effectiveness of our result.
- Delay /
- internal layers /
- boundary layer functions /
- contrast structures /
- asymptotic expansion
MSC: 34E20, 34B15

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References

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