Contrast structure in a singularly perturbed delay reaction-diffusion equation

doi:10.3969/j.issn.1000-5641.2023.02.006

Abstract

Abstract:

This paper considers a Neumann boundary value problem of a singularly perturbed delay reaction-diffusion equation with a nonlinear reactive term. By using the boundary layer function method, contrast structure theory, and contraction mapping principle, the asymptotic expansion of the solution is constructed, and the existence of a uniformly valid solution is proven. Finally, an example is presented to show the effectiveness of our result.

Key words: delay, reaction-diffusion equation, singular perturbation, triangle layer, contrast structure, asymptotic expansion

CLC Number:

O175.26

Qingzhao GAN, Mingkang NI. Contrast structure in a singularly perturbed delay reaction-diffusion equation[J]. Journal of East China Normal University(Natural Science), 2023, 2023(2): 34-47.

Figures/Tables 1

References 35

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