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Singularly perturbed reaction diffusion equations with time delay

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Abstract

A class of initial boundary value problems of differential-difference equations for reaction diffusion with a small time delay is considered. Under suitable conditions and by using the stretched variable method, a formal asymptotic solution is constructed. Then, by use of the theory of differential inequalities, the uniform validity of the solution is proved.

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Authors and Affiliations

  1. Department of Mathematics, Anhui Normal University, Wuhu, 241000, Anhui Province, P. R. China

    Jia-qi Mo  (莫嘉琪)

  2. Division of Computational Science, E-Institute of Shanghai Universities at SJTU, Shanghai, 200240, P. R. China

    Jia-qi Mo  (莫嘉琪)

  3. Institute of Applied Mathematics, School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, 233030, Anhui Province, P. R. China

    Zhao-hui Wen  (温朝晖)

Authors
  1. Jia-qi Mo  (莫嘉琪)
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  2. Zhao-hui Wen  (温朝晖)
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Corresponding author

Correspondence to Jia-qi Mo  (莫嘉琪).

Additional information

Communicated by Xing-ming GUO

Project supported by the National Natural Science Foundation of China (No. 40876010), the Major Projects of Knowledge Innovation Program of Chinese Academy of Sciences (No. KZCX2-YW-Q03-08), the Research and Development Special Fund for Public Welfare Industry (No. GYHY200806010), the Special Fund of the State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, the Foundation of Shanghai Municipal Education Commission (No. E03004), and the Natural Science Foundation of Zhejiang Province (No. Y6090164)

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Mo, Jq., Wen, Zh. Singularly perturbed reaction diffusion equations with time delay. Appl. Math. Mech.-Engl. Ed. 31, 769–774 (2010). https://doi.org/10.1007/s10483-010-1311-6

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  • DOI: https://doi.org/10.1007/s10483-010-1311-6

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Chinese Library Classification

2000 Mathematics Subject Classification

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