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Singularly perturbed problem for non-local reaction-diffusion equations involving two small parameters

  • Applied Mathematics And Mechanics
  • Published:
Journal of Shanghai University (English Edition)

Abstract

The problem of two small parameters in ordinary differential equations were extended to that in partial differential equations. The initial boundary problem for the singularly perturbed non-local reaction-diffusion equation was solved. Under suitable conditions, the formal asymptotic solutions were constructed using the method of two-step expansions and the uniform validity of the solutions was proved using the differential inequality.

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Author information

Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072, Shanghai, P.R. China

    Cheng Rong-jun Ph. D. Candidate

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

    Cheng Rong-jun Ph. D. Candidate

Authors
  1. Cheng Rong-jun Ph. D. Candidate
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Additional information

Project supported by National Natural Science Foundation of China(Grant No. 10071048)

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Cite this article

Cheng, Rj. Singularly perturbed problem for non-local reaction-diffusion equations involving two small parameters. J. of Shanghai Univ. 10, 479–483 (2006). https://doi.org/10.1007/s11741-006-0041-6

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  • DOI: https://doi.org/10.1007/s11741-006-0041-6

Key words

2000 Mathematics Subject Classification

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