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

Tao Feng | Zendy; Mingkang Ni | Zendy

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

Author(s) -

Tao Feng,

Mingkang Ni

Publication year - 2020

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/20190337

Subject(s) - mathematics , method of matched asymptotic expansions , mathematical analysis , singular perturbation , differential equation , asymptotic expansion

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.

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