Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (5): 527-531.

• Articles • Previous Articles     Next Articles

THE NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS

MO Jia-qi1, ZHU Jiang2   

  1. 1. Department of Mathematics, Anhui Normal University, Wuhu, Anhiu 241000, P.R.China;
    2. ICEES, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, P.R.China
  • Received:2001-09-04 Revised:2003-02-19 Online:2003-05-18 Published:2003-05-18
  • Supported by:
    the National Natural Science Foundation of China(10071048); the "Hunfred Talents Project" by Chinese Academy of Sciences

Abstract: A class of nonlinear nonlocal for singularly perturbed Robin initial boundary value problems for reaction diffusion equations is considered. Under suitable conditions, firstly, the outer solution of the original problem is obtained, secondly, using the stretched variable, the composing expansion method and the expanding theory of power series the initial layer is constructed, finally, using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems are studied and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation is discussed.

2010 MSC Number: 

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