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Singular perturbation of initial boundary value problems of reaction diffusion equation with delay

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Abstract

In this paper we consider the initial-boundary value problems for a class of general singularly perturbed delay reaction diffusion equations which are often met in applications, such as biomathematics and biochemistry. Applying the method of composite expansion we construct the formally asymptotic solution of the problem described. With the help of theory of upper and lower solutions we prove the uniformly validity of the formal solution and the existence of solution of the original problem.

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Authors and Affiliations

  1. Anhui Normal University, Wuhu

    Zhang Xiang

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  1. Zhang Xiang
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Communicated by Lin Zong-chi

Project Supported by the Anhui Normal University Youth Natural Science Foundation of China

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Xiang, Z. Singular perturbation of initial boundary value problems of reaction diffusion equation with delay. Appl Math Mech 15, 267–273 (1994). https://doi.org/10.1007/BF02451062

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  • DOI: https://doi.org/10.1007/BF02451062

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