Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (4): 399-408.

• 论文 • 上一篇    下一篇

SINGULAR PERTURBATION OF INITIAL-BOUNDARY VALUE PROBLEMS FOR A CLASS OF REACTION DIFFUSION SYSTEMS

莫嘉琪   

  1. Anhui Normal University, Wuhu
  • 收稿日期:1990-01-19 出版日期:1991-04-18 发布日期:1991-04-18
  • 基金资助:
    The Project Supported by the National Natural Science Foundation of China

SINGULAR PERTURBATION OF INITIAL-BOUNDARY VALUE PROBLEMS FOR A CLASS OF REACTION DIFFUSION SYSTEMS

Mo Jia-qi   

  1. Anhui Normal University, Wuhu
  • Received:1990-01-19 Online:1991-04-18 Published:1991-04-18
  • Supported by:
    The Project Supported by the National Natural Science Foundation of China

摘要: In this paper, a class of singularly perturbed initial-boundary value problems for the reaction diffusion systems is considered.Using the theory of differential inequality, we prove that the initial-boundary value problems have a solution and obtain their asymptotic expansion.

关键词: reaction diffusion system, singular perturbation, comparison theorem, asymptotic expansion

Abstract: In this paper, a class of singularly perturbed initial-boundary value problems for the reaction diffusion systems is considered.Using the theory of differential inequality, we prove that the initial-boundary value problems have a solution and obtain their asymptotic expansion.

Key words: reaction diffusion system, singular perturbation, comparison theorem, asymptotic expansion

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