ScholarLens Back to search
2020•Journal of Applied Analysis & ComputationOpen access

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

Tao Feng, Mingkang Ni

Open full text 2 citations

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.

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Mathematics, Method of matched asymptotic expansions, Mathematical analysis, Singular perturbation, Differential equation, Asymptotic expansion

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
INTERNAL LAYERS FOR A QUASI–LINEAR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATION — Research Paper | ScholarLens