THE NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS

作     者：莫嘉琪 朱江 

作者机构：Department of Mathematics Anhiu 241000 Beijing 100029 Chinese Academy of Sciences Wuhu Institute of Atmospheric Physics Anhui Normal University ICEES P.R.China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学(英文版))

年 卷 期：2003年第24卷第5期

页      面：527-531页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：theNationalNaturalScienceFoundationofChina (1 0 0 71 0 48) the“HunfredTalentsProject”byChineseAcademyofSciences 

主　　题：nonlinear reaction diffusion singular perturbation 

摘      要：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.